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Finding the Fourth Proportional to 2,470.47, 3,408.30 and 1,408.14

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Solution

The fourth proportional to 2,470.47, 3,408.30 and 1,408.14 is: 1,942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.47 : 3,408.30 = 1,408.14 : x
  2. Step 2: Convert to fraction form
    2,470.47/3,408.30 = 1,408.14/x
  3. Step 3: Cross multiply
    2,470.47x = 3,408.30 × 1,408.14
  4. Step 4: Simplify right side
    2,470.47x = 4,799,363.56
  5. Step 5: Solve for x
    x = 4,799,363.56/2,470.47
  6. Step 6: Final answer
    x = 1,942.69

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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.