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Finding the Fourth Proportional to 3,077.30, 4,616.76 and 885.98

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Solution

The fourth proportional to 3,077.30, 4,616.76 and 885.98 is: 1,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.30 : 4,616.76 = 885.98 : x
  2. Step 2: Convert to fraction form
    3,077.30/4,616.76 = 885.98/x
  3. Step 3: Cross multiply
    3,077.30x = 4,616.76 × 885.98
  4. Step 4: Simplify right side
    3,077.30x = 4,090,357.02
  5. Step 5: Solve for x
    x = 4,090,357.02/3,077.30
  6. Step 6: Final answer
    x = 1,329.20

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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.