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Finding the Fourth Proportional to 1,343.76, 1,862.28 and 1,323.24

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Solution

The fourth proportional to 1,343.76, 1,862.28 and 1,323.24 is: 1,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.76 : 1,862.28 = 1,323.24 : x
  2. Step 2: Convert to fraction form
    1,343.76/1,862.28 = 1,323.24/x
  3. Step 3: Cross multiply
    1,343.76x = 1,862.28 × 1,323.24
  4. Step 4: Simplify right side
    1,343.76x = 2,464,243.39
  5. Step 5: Solve for x
    x = 2,464,243.39/1,343.76
  6. Step 6: Final answer
    x = 1,833.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.