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Finding the Fourth Proportional to 2,702.39, 4,051.14 and 1,399.91

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Solution

The fourth proportional to 2,702.39, 4,051.14 and 1,399.91 is: 2,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.39 : 4,051.14 = 1,399.91 : x
  2. Step 2: Convert to fraction form
    2,702.39/4,051.14 = 1,399.91/x
  3. Step 3: Cross multiply
    2,702.39x = 4,051.14 × 1,399.91
  4. Step 4: Simplify right side
    2,702.39x = 5,671,211.14
  5. Step 5: Solve for x
    x = 5,671,211.14/2,702.39
  6. Step 6: Final answer
    x = 2,098.59

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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.