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Finding the Fourth Proportional to 2,402.79, 3,315.92 and 1,408.11

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Solution

The fourth proportional to 2,402.79, 3,315.92 and 1,408.11 is: 1,943.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.79 : 3,315.92 = 1,408.11 : x
  2. Step 2: Convert to fraction form
    2,402.79/3,315.92 = 1,408.11/x
  3. Step 3: Cross multiply
    2,402.79x = 3,315.92 × 1,408.11
  4. Step 4: Simplify right side
    2,402.79x = 4,669,180.11
  5. Step 5: Solve for x
    x = 4,669,180.11/2,402.79
  6. Step 6: Final answer
    x = 1,943.23

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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.