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Finding the Fourth Proportional to 1,508.08, 2,256.56 and 892.08

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Solution

The fourth proportional to 1,508.08, 2,256.56 and 892.08 is: 1,334.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.08 : 2,256.56 = 892.08 : x
  2. Step 2: Convert to fraction form
    1,508.08/2,256.56 = 892.08/x
  3. Step 3: Cross multiply
    1,508.08x = 2,256.56 × 892.08
  4. Step 4: Simplify right side
    1,508.08x = 2,013,032.04
  5. Step 5: Solve for x
    x = 2,013,032.04/1,508.08
  6. Step 6: Final answer
    x = 1,334.83

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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.