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Finding the Fourth Proportional to 1,512.92, 2,264.52 and 853.04

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Solution

The fourth proportional to 1,512.92, 2,264.52 and 853.04 is: 1,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.92 : 2,264.52 = 853.04 : x
  2. Step 2: Convert to fraction form
    1,512.92/2,264.52 = 853.04/x
  3. Step 3: Cross multiply
    1,512.92x = 2,264.52 × 853.04
  4. Step 4: Simplify right side
    1,512.92x = 1,931,726.14
  5. Step 5: Solve for x
    x = 1,931,726.14/1,512.92
  6. Step 6: Final answer
    x = 1,276.82

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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.