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Finding the Fourth Proportional to 2,873.48, 4,310.28 and 925.28

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Solution

The fourth proportional to 2,873.48, 4,310.28 and 925.28 is: 1,387.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.48 : 4,310.28 = 925.28 : x
  2. Step 2: Convert to fraction form
    2,873.48/4,310.28 = 925.28/x
  3. Step 3: Cross multiply
    2,873.48x = 4,310.28 × 925.28
  4. Step 4: Simplify right side
    2,873.48x = 3,988,215.88
  5. Step 5: Solve for x
    x = 3,988,215.88/2,873.48
  6. Step 6: Final answer
    x = 1,387.94

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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.