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Finding the Fourth Proportional to 1,516.74, 2,088.42 and 1,454.51

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Solution

The fourth proportional to 1,516.74, 2,088.42 and 1,454.51 is: 2,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.74 : 2,088.42 = 1,454.51 : x
  2. Step 2: Convert to fraction form
    1,516.74/2,088.42 = 1,454.51/x
  3. Step 3: Cross multiply
    1,516.74x = 2,088.42 × 1,454.51
  4. Step 4: Simplify right side
    1,516.74x = 3,037,617.33
  5. Step 5: Solve for x
    x = 3,037,617.33/1,516.74
  6. Step 6: Final answer
    x = 2,002.73

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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.