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Finding the Fourth Proportional to 1,344.54, 1,862.93 and 1,315.38

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Solution

The fourth proportional to 1,344.54, 1,862.93 and 1,315.38 is: 1,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.54 : 1,862.93 = 1,315.38 : x
  2. Step 2: Convert to fraction form
    1,344.54/1,862.93 = 1,315.38/x
  3. Step 3: Cross multiply
    1,344.54x = 1,862.93 × 1,315.38
  4. Step 4: Simplify right side
    1,344.54x = 2,450,451.55
  5. Step 5: Solve for x
    x = 2,450,451.55/1,344.54
  6. Step 6: Final answer
    x = 1,822.53

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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.