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Finding the Fourth Proportional to 1,595.89, 2,202.18 and 897.13

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Solution

The fourth proportional to 1,595.89, 2,202.18 and 897.13 is: 1,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.89 : 2,202.18 = 897.13 : x
  2. Step 2: Convert to fraction form
    1,595.89/2,202.18 = 897.13/x
  3. Step 3: Cross multiply
    1,595.89x = 2,202.18 × 897.13
  4. Step 4: Simplify right side
    1,595.89x = 1,975,630.73
  5. Step 5: Solve for x
    x = 1,975,630.73/1,595.89
  6. Step 6: Final answer
    x = 1,237.95

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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.