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Finding the Fourth Proportional to 2,101.52, 3,149.40 and 1,555.76

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Solution

The fourth proportional to 2,101.52, 3,149.40 and 1,555.76 is: 2,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.52 : 3,149.40 = 1,555.76 : x
  2. Step 2: Convert to fraction form
    2,101.52/3,149.40 = 1,555.76/x
  3. Step 3: Cross multiply
    2,101.52x = 3,149.40 × 1,555.76
  4. Step 4: Simplify right side
    2,101.52x = 4,899,710.54
  5. Step 5: Solve for x
    x = 4,899,710.54/2,101.52
  6. Step 6: Final answer
    x = 2,331.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.