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Finding the Fourth Proportional to 1,746.27, 2,620.92 and 925.13

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Solution

The fourth proportional to 1,746.27, 2,620.92 and 925.13 is: 1,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.27 : 2,620.92 = 925.13 : x
  2. Step 2: Convert to fraction form
    1,746.27/2,620.92 = 925.13/x
  3. Step 3: Cross multiply
    1,746.27x = 2,620.92 × 925.13
  4. Step 4: Simplify right side
    1,746.27x = 2,424,691.72
  5. Step 5: Solve for x
    x = 2,424,691.72/1,746.27
  6. Step 6: Final answer
    x = 1,388.50

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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.