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Finding the Fourth Proportional to 1,343.86, 2,013.16 and 926.41

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Solution

The fourth proportional to 1,343.86, 2,013.16 and 926.41 is: 1,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.86 : 2,013.16 = 926.41 : x
  2. Step 2: Convert to fraction form
    1,343.86/2,013.16 = 926.41/x
  3. Step 3: Cross multiply
    1,343.86x = 2,013.16 × 926.41
  4. Step 4: Simplify right side
    1,343.86x = 1,864,996.86
  5. Step 5: Solve for x
    x = 1,864,996.86/1,343.86
  6. Step 6: Final answer
    x = 1,387.80

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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.