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Finding the Fourth Proportional to 2,393.52, 3,588.45 and 2,149.31

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Solution

The fourth proportional to 2,393.52, 3,588.45 and 2,149.31 is: 3,222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.52 : 3,588.45 = 2,149.31 : x
  2. Step 2: Convert to fraction form
    2,393.52/3,588.45 = 2,149.31/x
  3. Step 3: Cross multiply
    2,393.52x = 3,588.45 × 2,149.31
  4. Step 4: Simplify right side
    2,393.52x = 7,712,673.53
  5. Step 5: Solve for x
    x = 7,712,673.53/2,393.52
  6. Step 6: Final answer
    x = 3,222.31

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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.