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Finding the Fourth Proportional to 3,118.73, 4,677.95 and 778.75

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Solution

The fourth proportional to 3,118.73, 4,677.95 and 778.75 is: 1,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.73 : 4,677.95 = 778.75 : x
  2. Step 2: Convert to fraction form
    3,118.73/4,677.95 = 778.75/x
  3. Step 3: Cross multiply
    3,118.73x = 4,677.95 × 778.75
  4. Step 4: Simplify right side
    3,118.73x = 3,642,943.81
  5. Step 5: Solve for x
    x = 3,642,943.81/3,118.73
  6. Step 6: Final answer
    x = 1,168.09

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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.