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Finding the Fourth Proportional to 3,077.15, 4,616.51 and 886.04

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Solution

The fourth proportional to 3,077.15, 4,616.51 and 886.04 is: 1,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.15 : 4,616.51 = 886.04 : x
  2. Step 2: Convert to fraction form
    3,077.15/4,616.51 = 886.04/x
  3. Step 3: Cross multiply
    3,077.15x = 4,616.51 × 886.04
  4. Step 4: Simplify right side
    3,077.15x = 4,090,385.01
  5. Step 5: Solve for x
    x = 4,090,385.01/3,077.15
  6. Step 6: Final answer
    x = 1,329.28

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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.