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Finding the Fourth Proportional to 1,340.11, 2,009.91 and 462.61

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Solution

The fourth proportional to 1,340.11, 2,009.91 and 462.61 is: 693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.11 : 2,009.91 = 462.61 : x
  2. Step 2: Convert to fraction form
    1,340.11/2,009.91 = 462.61/x
  3. Step 3: Cross multiply
    1,340.11x = 2,009.91 × 462.61
  4. Step 4: Simplify right side
    1,340.11x = 929,794.42
  5. Step 5: Solve for x
    x = 929,794.42/1,340.11
  6. Step 6: Final answer
    x = 693.82

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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.