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Finding the Fourth Proportional to 3,078.14, 4,616.15 and 886.91

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Solution

The fourth proportional to 3,078.14, 4,616.15 and 886.91 is: 1,330.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.14 : 4,616.15 = 886.91 : x
  2. Step 2: Convert to fraction form
    3,078.14/4,616.15 = 886.91/x
  3. Step 3: Cross multiply
    3,078.14x = 4,616.15 × 886.91
  4. Step 4: Simplify right side
    3,078.14x = 4,094,082.08
  5. Step 5: Solve for x
    x = 4,094,082.08/3,078.14
  6. Step 6: Final answer
    x = 1,330.05

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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.