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Finding the Fourth Proportional to 3,118.23, 4,677.41 and 778.20

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Solution

The fourth proportional to 3,118.23, 4,677.41 and 778.20 is: 1,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.23 : 4,677.41 = 778.20 : x
  2. Step 2: Convert to fraction form
    3,118.23/4,677.41 = 778.20/x
  3. Step 3: Cross multiply
    3,118.23x = 4,677.41 × 778.20
  4. Step 4: Simplify right side
    3,118.23x = 3,639,956.57
  5. Step 5: Solve for x
    x = 3,639,956.57/3,118.23
  6. Step 6: Final answer
    x = 1,167.32

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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.