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Finding the Fourth Proportional to 1,426.35, 1,969.72 and 1,348.70

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Solution

The fourth proportional to 1,426.35, 1,969.72 and 1,348.70 is: 1,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.35 : 1,969.72 = 1,348.70 : x
  2. Step 2: Convert to fraction form
    1,426.35/1,969.72 = 1,348.70/x
  3. Step 3: Cross multiply
    1,426.35x = 1,969.72 × 1,348.70
  4. Step 4: Simplify right side
    1,426.35x = 2,656,551.52
  5. Step 5: Solve for x
    x = 2,656,551.52/1,426.35
  6. Step 6: Final answer
    x = 1,862.48

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