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Finding the Fourth Proportional to 2,695.43, 4,042.47 and 1,913.15

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Solution

The fourth proportional to 2,695.43, 4,042.47 and 1,913.15 is: 2,869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.43 : 4,042.47 = 1,913.15 : x
  2. Step 2: Convert to fraction form
    2,695.43/4,042.47 = 1,913.15/x
  3. Step 3: Cross multiply
    2,695.43x = 4,042.47 × 1,913.15
  4. Step 4: Simplify right side
    2,695.43x = 7,733,851.48
  5. Step 5: Solve for x
    x = 7,733,851.48/2,695.43
  6. Step 6: Final answer
    x = 2,869.25

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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.