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Finding the Fourth Proportional to 1,540.22, 2,125.22 and 876.82

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Solution

The fourth proportional to 1,540.22, 2,125.22 and 876.82 is: 1,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.22 : 2,125.22 = 876.82 : x
  2. Step 2: Convert to fraction form
    1,540.22/2,125.22 = 876.82/x
  3. Step 3: Cross multiply
    1,540.22x = 2,125.22 × 876.82
  4. Step 4: Simplify right side
    1,540.22x = 1,863,435.40
  5. Step 5: Solve for x
    x = 1,863,435.40/1,540.22
  6. Step 6: Final answer
    x = 1,209.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.