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Finding the Fourth Proportional to 2,458.50, 3,701.65 and 2,167.86

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Solution

The fourth proportional to 2,458.50, 3,701.65 and 2,167.86 is: 3,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.50 : 3,701.65 = 2,167.86 : x
  2. Step 2: Convert to fraction form
    2,458.50/3,701.65 = 2,167.86/x
  3. Step 3: Cross multiply
    2,458.50x = 3,701.65 × 2,167.86
  4. Step 4: Simplify right side
    2,458.50x = 8,024,658.97
  5. Step 5: Solve for x
    x = 8,024,658.97/2,458.50
  6. Step 6: Final answer
    x = 3,264.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.