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Finding the Fourth Proportional to 2,558.43, 3,834.47 and 1,326.15

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Solution

The fourth proportional to 2,558.43, 3,834.47 and 1,326.15 is: 1,987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.43 : 3,834.47 = 1,326.15 : x
  2. Step 2: Convert to fraction form
    2,558.43/3,834.47 = 1,326.15/x
  3. Step 3: Cross multiply
    2,558.43x = 3,834.47 × 1,326.15
  4. Step 4: Simplify right side
    2,558.43x = 5,085,085.71
  5. Step 5: Solve for x
    x = 5,085,085.71/2,558.43
  6. Step 6: Final answer
    x = 1,987.58

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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.