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Finding the Fourth Proportional to 1,876.42, 2,591.36 and 1,505.85

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Solution

The fourth proportional to 1,876.42, 2,591.36 and 1,505.85 is: 2,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.42 : 2,591.36 = 1,505.85 : x
  2. Step 2: Convert to fraction form
    1,876.42/2,591.36 = 1,505.85/x
  3. Step 3: Cross multiply
    1,876.42x = 2,591.36 × 1,505.85
  4. Step 4: Simplify right side
    1,876.42x = 3,902,199.46
  5. Step 5: Solve for x
    x = 3,902,199.46/1,876.42
  6. Step 6: Final answer
    x = 2,079.60

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