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Finding the Fourth Proportional to 2,694.59, 4,042.87 and 1,134.98

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Solution

The fourth proportional to 2,694.59, 4,042.87 and 1,134.98 is: 1,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.59 : 4,042.87 = 1,134.98 : x
  2. Step 2: Convert to fraction form
    2,694.59/4,042.87 = 1,134.98/x
  3. Step 3: Cross multiply
    2,694.59x = 4,042.87 × 1,134.98
  4. Step 4: Simplify right side
    2,694.59x = 4,588,583.86
  5. Step 5: Solve for x
    x = 4,588,583.86/2,694.59
  6. Step 6: Final answer
    x = 1,702.89

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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.