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Finding the Fourth Proportional to 2,650.96, 3,658.49 and 1,531.95

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Solution

The fourth proportional to 2,650.96, 3,658.49 and 1,531.95 is: 2,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.96 : 3,658.49 = 1,531.95 : x
  2. Step 2: Convert to fraction form
    2,650.96/3,658.49 = 1,531.95/x
  3. Step 3: Cross multiply
    2,650.96x = 3,658.49 × 1,531.95
  4. Step 4: Simplify right side
    2,650.96x = 5,604,623.76
  5. Step 5: Solve for x
    x = 5,604,623.76/2,650.96
  6. Step 6: Final answer
    x = 2,114.19

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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.