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Finding the Fourth Proportional to 1,414.12, 2,118.44 and 925.68

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Solution

The fourth proportional to 1,414.12, 2,118.44 and 925.68 is: 1,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.12 : 2,118.44 = 925.68 : x
  2. Step 2: Convert to fraction form
    1,414.12/2,118.44 = 925.68/x
  3. Step 3: Cross multiply
    1,414.12x = 2,118.44 × 925.68
  4. Step 4: Simplify right side
    1,414.12x = 1,960,997.54
  5. Step 5: Solve for x
    x = 1,960,997.54/1,414.12
  6. Step 6: Final answer
    x = 1,386.73

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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.