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Finding the Fourth Proportional to 2,359.32, 3,539.07 and 1,947.69

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Solution

The fourth proportional to 2,359.32, 3,539.07 and 1,947.69 is: 2,921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.32 : 3,539.07 = 1,947.69 : x
  2. Step 2: Convert to fraction form
    2,359.32/3,539.07 = 1,947.69/x
  3. Step 3: Cross multiply
    2,359.32x = 3,539.07 × 1,947.69
  4. Step 4: Simplify right side
    2,359.32x = 6,893,011.25
  5. Step 5: Solve for x
    x = 6,893,011.25/2,359.32
  6. Step 6: Final answer
    x = 2,921.61

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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.