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Finding the Fourth Proportional to 2,426.41, 3,348.30 and 1,432

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Solution

The fourth proportional to 2,426.41, 3,348.30 and 1,432 is: 1,976.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.41 : 3,348.30 = 1,432 : x
  2. Step 2: Convert to fraction form
    2,426.41/3,348.30 = 1,432/x
  3. Step 3: Cross multiply
    2,426.41x = 3,348.30 × 1,432
  4. Step 4: Simplify right side
    2,426.41x = 4,794,765.60
  5. Step 5: Solve for x
    x = 4,794,765.60/2,426.41
  6. Step 6: Final answer
    x = 1,976.07

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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.