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Finding the Fourth Proportional to 2,470.29, 3,408.63 and 1,408.15

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Solution

The fourth proportional to 2,470.29, 3,408.63 and 1,408.15 is: 1,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.29 : 3,408.63 = 1,408.15 : x
  2. Step 2: Convert to fraction form
    2,470.29/3,408.63 = 1,408.15/x
  3. Step 3: Cross multiply
    2,470.29x = 3,408.63 × 1,408.15
  4. Step 4: Simplify right side
    2,470.29x = 4,799,854.17
  5. Step 5: Solve for x
    x = 4,799,854.17/2,470.29
  6. Step 6: Final answer
    x = 1,943.03

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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.