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Finding the Fourth Proportional to 2,408.40, 3,612.83 and 742.91

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Solution

The fourth proportional to 2,408.40, 3,612.83 and 742.91 is: 1,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.40 : 3,612.83 = 742.91 : x
  2. Step 2: Convert to fraction form
    2,408.40/3,612.83 = 742.91/x
  3. Step 3: Cross multiply
    2,408.40x = 3,612.83 × 742.91
  4. Step 4: Simplify right side
    2,408.40x = 2,683,985.76
  5. Step 5: Solve for x
    x = 2,683,985.76/2,408.40
  6. Step 6: Final answer
    x = 1,114.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.