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Finding the Fourth Proportional to 2,650.94, 3,658.30 and 1,472.02

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Solution

The fourth proportional to 2,650.94, 3,658.30 and 1,472.02 is: 2,031.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.94 : 3,658.30 = 1,472.02 : x
  2. Step 2: Convert to fraction form
    2,650.94/3,658.30 = 1,472.02/x
  3. Step 3: Cross multiply
    2,650.94x = 3,658.30 × 1,472.02
  4. Step 4: Simplify right side
    2,650.94x = 5,385,090.77
  5. Step 5: Solve for x
    x = 5,385,090.77/2,650.94
  6. Step 6: Final answer
    x = 2,031.39

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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.