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Finding the Fourth Proportional to 1,581.52, 2,373.95 and 888.78

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Solution

The fourth proportional to 1,581.52, 2,373.95 and 888.78 is: 1,334.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.52 : 2,373.95 = 888.78 : x
  2. Step 2: Convert to fraction form
    1,581.52/2,373.95 = 888.78/x
  3. Step 3: Cross multiply
    1,581.52x = 2,373.95 × 888.78
  4. Step 4: Simplify right side
    1,581.52x = 2,109,919.28
  5. Step 5: Solve for x
    x = 2,109,919.28/1,581.52
  6. Step 6: Final answer
    x = 1,334.11

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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.