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Finding the Fourth Proportional to 3,400.61, 5,099.03 and 1,319.32

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Solution

The fourth proportional to 3,400.61, 5,099.03 and 1,319.32 is: 1,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.61 : 5,099.03 = 1,319.32 : x
  2. Step 2: Convert to fraction form
    3,400.61/5,099.03 = 1,319.32/x
  3. Step 3: Cross multiply
    3,400.61x = 5,099.03 × 1,319.32
  4. Step 4: Simplify right side
    3,400.61x = 6,727,220.17
  5. Step 5: Solve for x
    x = 6,727,220.17/3,400.61
  6. Step 6: Final answer
    x = 1,978.24

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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.