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Finding the Fourth Proportional to 3,077.60, 4,616.66 and 886.36

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Solution

The fourth proportional to 3,077.60, 4,616.66 and 886.36 is: 1,329.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.60 : 4,616.66 = 886.36 : x
  2. Step 2: Convert to fraction form
    3,077.60/4,616.66 = 886.36/x
  3. Step 3: Cross multiply
    3,077.60x = 4,616.66 × 886.36
  4. Step 4: Simplify right side
    3,077.60x = 4,092,022.76
  5. Step 5: Solve for x
    x = 4,092,022.76/3,077.60
  6. Step 6: Final answer
    x = 1,329.61

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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.