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Finding the Fourth Proportional to 1,766.91, 2,437.97 and 1,068.15

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Solution

The fourth proportional to 1,766.91, 2,437.97 and 1,068.15 is: 1,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.91 : 2,437.97 = 1,068.15 : x
  2. Step 2: Convert to fraction form
    1,766.91/2,437.97 = 1,068.15/x
  3. Step 3: Cross multiply
    1,766.91x = 2,437.97 × 1,068.15
  4. Step 4: Simplify right side
    1,766.91x = 2,604,112.31
  5. Step 5: Solve for x
    x = 2,604,112.31/1,766.91
  6. Step 6: Final answer
    x = 1,473.82

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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.