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Finding the Fourth Proportional to 3,077.85, 4,613.13 and 2,345.16

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Solution

The fourth proportional to 3,077.85, 4,613.13 and 2,345.16 is: 3,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.85 : 4,613.13 = 2,345.16 : x
  2. Step 2: Convert to fraction form
    3,077.85/4,613.13 = 2,345.16/x
  3. Step 3: Cross multiply
    3,077.85x = 4,613.13 × 2,345.16
  4. Step 4: Simplify right side
    3,077.85x = 10,818,527.95
  5. Step 5: Solve for x
    x = 10,818,527.95/3,077.85
  6. Step 6: Final answer
    x = 3,514.96

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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.