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Finding the Fourth Proportional to 2,967.92, 4,451.40 and 1,118.78

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Solution

The fourth proportional to 2,967.92, 4,451.40 and 1,118.78 is: 1,677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.92 : 4,451.40 = 1,118.78 : x
  2. Step 2: Convert to fraction form
    2,967.92/4,451.40 = 1,118.78/x
  3. Step 3: Cross multiply
    2,967.92x = 4,451.40 × 1,118.78
  4. Step 4: Simplify right side
    2,967.92x = 4,980,115.04
  5. Step 5: Solve for x
    x = 4,980,115.04/2,967.92
  6. Step 6: Final answer
    x = 1,677.98

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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.