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Finding the Fourth Proportional to 1,375.60, 2,062.80 and 1,114.72

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Solution

The fourth proportional to 1,375.60, 2,062.80 and 1,114.72 is: 1,671.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.60 : 2,062.80 = 1,114.72 : x
  2. Step 2: Convert to fraction form
    1,375.60/2,062.80 = 1,114.72/x
  3. Step 3: Cross multiply
    1,375.60x = 2,062.80 × 1,114.72
  4. Step 4: Simplify right side
    1,375.60x = 2,299,444.42
  5. Step 5: Solve for x
    x = 2,299,444.42/1,375.60
  6. Step 6: Final answer
    x = 1,671.59

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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.