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Finding the Fourth Proportional to 1,601.47, 2,210.13 and 902.89

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Solution

The fourth proportional to 1,601.47, 2,210.13 and 902.89 is: 1,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.47 : 2,210.13 = 902.89 : x
  2. Step 2: Convert to fraction form
    1,601.47/2,210.13 = 902.89/x
  3. Step 3: Cross multiply
    1,601.47x = 2,210.13 × 902.89
  4. Step 4: Simplify right side
    1,601.47x = 1,995,488.71
  5. Step 5: Solve for x
    x = 1,995,488.71/1,601.47
  6. Step 6: Final answer
    x = 1,246.04

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