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Finding the Fourth Proportional to 1,449.76, 2,177.40 and 902.96

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Solution

The fourth proportional to 1,449.76, 2,177.40 and 902.96 is: 1,356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.76 : 2,177.40 = 902.96 : x
  2. Step 2: Convert to fraction form
    1,449.76/2,177.40 = 902.96/x
  3. Step 3: Cross multiply
    1,449.76x = 2,177.40 × 902.96
  4. Step 4: Simplify right side
    1,449.76x = 1,966,105.10
  5. Step 5: Solve for x
    x = 1,966,105.10/1,449.76
  6. Step 6: Final answer
    x = 1,356.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.