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Finding the Fourth Proportional to 1,503.32, 2,266.20 and 1,402.97

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Solution

The fourth proportional to 1,503.32, 2,266.20 and 1,402.97 is: 2,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.32 : 2,266.20 = 1,402.97 : x
  2. Step 2: Convert to fraction form
    1,503.32/2,266.20 = 1,402.97/x
  3. Step 3: Cross multiply
    1,503.32x = 2,266.20 × 1,402.97
  4. Step 4: Simplify right side
    1,503.32x = 3,179,399.28
  5. Step 5: Solve for x
    x = 3,179,399.28/1,503.32
  6. Step 6: Final answer
    x = 2,114.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.