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Finding the Fourth Proportional to 2,359.86, 3,540.21 and 1,043.61

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Solution

The fourth proportional to 2,359.86, 3,540.21 and 1,043.61 is: 1,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.86 : 3,540.21 = 1,043.61 : x
  2. Step 2: Convert to fraction form
    2,359.86/3,540.21 = 1,043.61/x
  3. Step 3: Cross multiply
    2,359.86x = 3,540.21 × 1,043.61
  4. Step 4: Simplify right side
    2,359.86x = 3,694,598.56
  5. Step 5: Solve for x
    x = 3,694,598.56/2,359.86
  6. Step 6: Final answer
    x = 1,565.60

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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.