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Finding the Fourth Proportional to 3,129.90, 4,319.73 and 1,951.35

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Solution

The fourth proportional to 3,129.90, 4,319.73 and 1,951.35 is: 2,693.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.90 : 4,319.73 = 1,951.35 : x
  2. Step 2: Convert to fraction form
    3,129.90/4,319.73 = 1,951.35/x
  3. Step 3: Cross multiply
    3,129.90x = 4,319.73 × 1,951.35
  4. Step 4: Simplify right side
    3,129.90x = 8,429,305.14
  5. Step 5: Solve for x
    x = 8,429,305.14/3,129.90
  6. Step 6: Final answer
    x = 2,693.15

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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.