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Finding the Fourth Proportional to 8,454.50, 12,681.78 and 2,298.50

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Solution

The fourth proportional to 8,454.50, 12,681.78 and 2,298.50 is: 3,447.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.50 : 12,681.78 = 2,298.50 : x
  2. Step 2: Convert to fraction form
    8,454.50/12,681.78 = 2,298.50/x
  3. Step 3: Cross multiply
    8,454.50x = 12,681.78 × 2,298.50
  4. Step 4: Simplify right side
    8,454.50x = 29,149,071.33
  5. Step 5: Solve for x
    x = 29,149,071.33/8,454.50
  6. Step 6: Final answer
    x = 3,447.76

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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.