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Finding the Fourth Proportional to 2,523.59, 3,785.38 and 1,043.65

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Solution

The fourth proportional to 2,523.59, 3,785.38 and 1,043.65 is: 1,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.59 : 3,785.38 = 1,043.65 : x
  2. Step 2: Convert to fraction form
    2,523.59/3,785.38 = 1,043.65/x
  3. Step 3: Cross multiply
    2,523.59x = 3,785.38 × 1,043.65
  4. Step 4: Simplify right side
    2,523.59x = 3,950,611.84
  5. Step 5: Solve for x
    x = 3,950,611.84/2,523.59
  6. Step 6: Final answer
    x = 1,565.47

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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.