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Finding the Fourth Proportional to 2,480.42, 3,715.72 and 1,864.82

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Solution

The fourth proportional to 2,480.42, 3,715.72 and 1,864.82 is: 2,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.42 : 3,715.72 = 1,864.82 : x
  2. Step 2: Convert to fraction form
    2,480.42/3,715.72 = 1,864.82/x
  3. Step 3: Cross multiply
    2,480.42x = 3,715.72 × 1,864.82
  4. Step 4: Simplify right side
    2,480.42x = 6,929,148.97
  5. Step 5: Solve for x
    x = 6,929,148.97/2,480.42
  6. Step 6: Final answer
    x = 2,793.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.