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Finding the Fourth Proportional to 1,343.46, 1,853.22 and 1,240.38

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Solution

The fourth proportional to 1,343.46, 1,853.22 and 1,240.38 is: 1,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.46 : 1,853.22 = 1,240.38 : x
  2. Step 2: Convert to fraction form
    1,343.46/1,853.22 = 1,240.38/x
  3. Step 3: Cross multiply
    1,343.46x = 1,853.22 × 1,240.38
  4. Step 4: Simplify right side
    1,343.46x = 2,298,697.02
  5. Step 5: Solve for x
    x = 2,298,697.02/1,343.46
  6. Step 6: Final answer
    x = 1,711.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.