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Finding the Fourth Proportional to 2,342.16, 3,513.22 and 610.79

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Solution

The fourth proportional to 2,342.16, 3,513.22 and 610.79 is: 916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.16 : 3,513.22 = 610.79 : x
  2. Step 2: Convert to fraction form
    2,342.16/3,513.22 = 610.79/x
  3. Step 3: Cross multiply
    2,342.16x = 3,513.22 × 610.79
  4. Step 4: Simplify right side
    2,342.16x = 2,145,839.64
  5. Step 5: Solve for x
    x = 2,145,839.64/2,342.16
  6. Step 6: Final answer
    x = 916.18

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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.