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Finding the Fourth Proportional to 1,367.40, 2,052.42 and 1,293.40

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Solution

The fourth proportional to 1,367.40, 2,052.42 and 1,293.40 is: 1,941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.40 : 2,052.42 = 1,293.40 : x
  2. Step 2: Convert to fraction form
    1,367.40/2,052.42 = 1,293.40/x
  3. Step 3: Cross multiply
    1,367.40x = 2,052.42 × 1,293.40
  4. Step 4: Simplify right side
    1,367.40x = 2,654,600.03
  5. Step 5: Solve for x
    x = 2,654,600.03/1,367.40
  6. Step 6: Final answer
    x = 1,941.35

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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.