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Finding the Fourth Proportional to 2,342.38, 3,513.76 and 611

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Solution

The fourth proportional to 2,342.38, 3,513.76 and 611 is: 916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.38 : 3,513.76 = 611 : x
  2. Step 2: Convert to fraction form
    2,342.38/3,513.76 = 611/x
  3. Step 3: Cross multiply
    2,342.38x = 3,513.76 × 611
  4. Step 4: Simplify right side
    2,342.38x = 2,146,907.36
  5. Step 5: Solve for x
    x = 2,146,907.36/2,342.38
  6. Step 6: Final answer
    x = 916.55

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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.