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Finding the Fourth Proportional to 2,049.48, 3,073.26 and 1,658.52

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Solution

The fourth proportional to 2,049.48, 3,073.26 and 1,658.52 is: 2,487.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.48 : 3,073.26 = 1,658.52 : x
  2. Step 2: Convert to fraction form
    2,049.48/3,073.26 = 1,658.52/x
  3. Step 3: Cross multiply
    2,049.48x = 3,073.26 × 1,658.52
  4. Step 4: Simplify right side
    2,049.48x = 5,097,063.18
  5. Step 5: Solve for x
    x = 5,097,063.18/2,049.48
  6. Step 6: Final answer
    x = 2,487.00

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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.