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Finding the Fourth Proportional to 2,711.98, 4,068.56 and 1,046.08

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Solution

The fourth proportional to 2,711.98, 4,068.56 and 1,046.08 is: 1,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.98 : 4,068.56 = 1,046.08 : x
  2. Step 2: Convert to fraction form
    2,711.98/4,068.56 = 1,046.08/x
  3. Step 3: Cross multiply
    2,711.98x = 4,068.56 × 1,046.08
  4. Step 4: Simplify right side
    2,711.98x = 4,256,046.95
  5. Step 5: Solve for x
    x = 4,256,046.95/2,711.98
  6. Step 6: Final answer
    x = 1,569.35

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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.