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Finding the Fourth Proportional to 2,377.59, 3,280.62 and 1,539.36

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Solution

The fourth proportional to 2,377.59, 3,280.62 and 1,539.36 is: 2,124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.59 : 3,280.62 = 1,539.36 : x
  2. Step 2: Convert to fraction form
    2,377.59/3,280.62 = 1,539.36/x
  3. Step 3: Cross multiply
    2,377.59x = 3,280.62 × 1,539.36
  4. Step 4: Simplify right side
    2,377.59x = 5,050,055.20
  5. Step 5: Solve for x
    x = 5,050,055.20/2,377.59
  6. Step 6: Final answer
    x = 2,124.02

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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.