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Finding the Fourth Proportional to 1,340.61, 2,011.38 and 610.12

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Solution

The fourth proportional to 1,340.61, 2,011.38 and 610.12 is: 915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.61 : 2,011.38 = 610.12 : x
  2. Step 2: Convert to fraction form
    1,340.61/2,011.38 = 610.12/x
  3. Step 3: Cross multiply
    1,340.61x = 2,011.38 × 610.12
  4. Step 4: Simplify right side
    1,340.61x = 1,227,183.17
  5. Step 5: Solve for x
    x = 1,227,183.17/1,340.61
  6. Step 6: Final answer
    x = 915.39

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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.