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Finding the Fourth Proportional to 2,651.15, 3,658.57 and 1,472.14

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Solution

The fourth proportional to 2,651.15, 3,658.57 and 1,472.14 is: 2,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.15 : 3,658.57 = 1,472.14 : x
  2. Step 2: Convert to fraction form
    2,651.15/3,658.57 = 1,472.14/x
  3. Step 3: Cross multiply
    2,651.15x = 3,658.57 × 1,472.14
  4. Step 4: Simplify right side
    2,651.15x = 5,385,928.13
  5. Step 5: Solve for x
    x = 5,385,928.13/2,651.15
  6. Step 6: Final answer
    x = 2,031.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.