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Finding the Fourth Proportional to 1,264.51, 1,897.43 and 902.24

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Solution

The fourth proportional to 1,264.51, 1,897.43 and 902.24 is: 1,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.51 : 1,897.43 = 902.24 : x
  2. Step 2: Convert to fraction form
    1,264.51/1,897.43 = 902.24/x
  3. Step 3: Cross multiply
    1,264.51x = 1,897.43 × 902.24
  4. Step 4: Simplify right side
    1,264.51x = 1,711,930.36
  5. Step 5: Solve for x
    x = 1,711,930.36/1,264.51
  6. Step 6: Final answer
    x = 1,353.83

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