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Finding the Fourth Proportional to 2,651.46, 3,658.71 and 1,472.34

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Solution

The fourth proportional to 2,651.46, 3,658.71 and 1,472.34 is: 2,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.46 : 3,658.71 = 1,472.34 : x
  2. Step 2: Convert to fraction form
    2,651.46/3,658.71 = 1,472.34/x
  3. Step 3: Cross multiply
    2,651.46x = 3,658.71 × 1,472.34
  4. Step 4: Simplify right side
    2,651.46x = 5,386,865.08
  5. Step 5: Solve for x
    x = 5,386,865.08/2,651.46
  6. Step 6: Final answer
    x = 2,031.66

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Why These Related Problems?

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