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Finding the Fourth Proportional to 1,595.94, 2,202.52 and 897.32

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Solution

The fourth proportional to 1,595.94, 2,202.52 and 897.32 is: 1,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.94 : 2,202.52 = 897.32 : x
  2. Step 2: Convert to fraction form
    1,595.94/2,202.52 = 897.32/x
  3. Step 3: Cross multiply
    1,595.94x = 2,202.52 × 897.32
  4. Step 4: Simplify right side
    1,595.94x = 1,976,365.25
  5. Step 5: Solve for x
    x = 1,976,365.25/1,595.94
  6. Step 6: Final answer
    x = 1,238.37

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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.