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Finding the Fourth Proportional to 2,516.43, 3,775.19 and 1,054.74

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Solution

The fourth proportional to 2,516.43, 3,775.19 and 1,054.74 is: 1,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.43 : 3,775.19 = 1,054.74 : x
  2. Step 2: Convert to fraction form
    2,516.43/3,775.19 = 1,054.74/x
  3. Step 3: Cross multiply
    2,516.43x = 3,775.19 × 1,054.74
  4. Step 4: Simplify right side
    2,516.43x = 3,981,838.63
  5. Step 5: Solve for x
    x = 3,981,838.63/2,516.43
  6. Step 6: Final answer
    x = 1,582.34

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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.