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Finding the Fourth Proportional to 2,497.41, 3,745.98 and 766.04

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Solution

The fourth proportional to 2,497.41, 3,745.98 and 766.04 is: 1,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.41 : 3,745.98 = 766.04 : x
  2. Step 2: Convert to fraction form
    2,497.41/3,745.98 = 766.04/x
  3. Step 3: Cross multiply
    2,497.41x = 3,745.98 × 766.04
  4. Step 4: Simplify right side
    2,497.41x = 2,869,570.52
  5. Step 5: Solve for x
    x = 2,869,570.52/2,497.41
  6. Step 6: Final answer
    x = 1,149.02

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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.