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Finding the Fourth Proportional to 1,516.96, 2,264.36 and 1,301.92

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Solution

The fourth proportional to 1,516.96, 2,264.36 and 1,301.92 is: 1,943.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.96 : 2,264.36 = 1,301.92 : x
  2. Step 2: Convert to fraction form
    1,516.96/2,264.36 = 1,301.92/x
  3. Step 3: Cross multiply
    1,516.96x = 2,264.36 × 1,301.92
  4. Step 4: Simplify right side
    1,516.96x = 2,948,015.57
  5. Step 5: Solve for x
    x = 2,948,015.57/1,516.96
  6. Step 6: Final answer
    x = 1,943.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.