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Finding the Fourth Proportional to 2,342.13, 3,513.39 and 610.75

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Solution

The fourth proportional to 2,342.13, 3,513.39 and 610.75 is: 916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.13 : 3,513.39 = 610.75 : x
  2. Step 2: Convert to fraction form
    2,342.13/3,513.39 = 610.75/x
  3. Step 3: Cross multiply
    2,342.13x = 3,513.39 × 610.75
  4. Step 4: Simplify right side
    2,342.13x = 2,145,802.94
  5. Step 5: Solve for x
    x = 2,145,802.94/2,342.13
  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.