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Finding the Fourth Proportional to 1,595.82, 2,202.18 and 897.32

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Solution

The fourth proportional to 1,595.82, 2,202.18 and 897.32 is: 1,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.82 : 2,202.18 = 897.32 : x
  2. Step 2: Convert to fraction form
    1,595.82/2,202.18 = 897.32/x
  3. Step 3: Cross multiply
    1,595.82x = 2,202.18 × 897.32
  4. Step 4: Simplify right side
    1,595.82x = 1,976,060.16
  5. Step 5: Solve for x
    x = 1,976,060.16/1,595.82
  6. Step 6: Final answer
    x = 1,238.27

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.