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Finding the Fourth Proportional to 1,251.72, 1,878.48 and 926.10

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Solution

The fourth proportional to 1,251.72, 1,878.48 and 926.10 is: 1,389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.72 : 1,878.48 = 926.10 : x
  2. Step 2: Convert to fraction form
    1,251.72/1,878.48 = 926.10/x
  3. Step 3: Cross multiply
    1,251.72x = 1,878.48 × 926.10
  4. Step 4: Simplify right side
    1,251.72x = 1,739,660.33
  5. Step 5: Solve for x
    x = 1,739,660.33/1,251.72
  6. Step 6: Final answer
    x = 1,389.82

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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.