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Finding the Fourth Proportional to 2,651.05, 3,658.63 and 1,472.13

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Solution

The fourth proportional to 2,651.05, 3,658.63 and 1,472.13 is: 2,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.05 : 3,658.63 = 1,472.13 : x
  2. Step 2: Convert to fraction form
    2,651.05/3,658.63 = 1,472.13/x
  3. Step 3: Cross multiply
    2,651.05x = 3,658.63 × 1,472.13
  4. Step 4: Simplify right side
    2,651.05x = 5,385,978.98
  5. Step 5: Solve for x
    x = 5,385,978.98/2,651.05
  6. Step 6: Final answer
    x = 2,031.64

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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.