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Finding the Fourth Proportional to 2,092.76, 3,139.58 and 632.04

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Solution

The fourth proportional to 2,092.76, 3,139.58 and 632.04 is: 948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.76 : 3,139.58 = 632.04 : x
  2. Step 2: Convert to fraction form
    2,092.76/3,139.58 = 632.04/x
  3. Step 3: Cross multiply
    2,092.76x = 3,139.58 × 632.04
  4. Step 4: Simplify right side
    2,092.76x = 1,984,340.14
  5. Step 5: Solve for x
    x = 1,984,340.14/2,092.76
  6. Step 6: Final answer
    x = 948.19

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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.