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Finding the Fourth Proportional to 3,077.87, 4,613.16 and 1,616.24

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Solution

The fourth proportional to 3,077.87, 4,613.16 and 1,616.24 is: 2,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.87 : 4,613.16 = 1,616.24 : x
  2. Step 2: Convert to fraction form
    3,077.87/4,613.16 = 1,616.24/x
  3. Step 3: Cross multiply
    3,077.87x = 4,613.16 × 1,616.24
  4. Step 4: Simplify right side
    3,077.87x = 7,455,973.72
  5. Step 5: Solve for x
    x = 7,455,973.72/3,077.87
  6. Step 6: Final answer
    x = 2,422.45

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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.