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Finding the Fourth Proportional to 2,408.13, 3,612.20 and 584.13

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Solution

The fourth proportional to 2,408.13, 3,612.20 and 584.13 is: 876.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.13 : 3,612.20 = 584.13 : x
  2. Step 2: Convert to fraction form
    2,408.13/3,612.20 = 584.13/x
  3. Step 3: Cross multiply
    2,408.13x = 3,612.20 × 584.13
  4. Step 4: Simplify right side
    2,408.13x = 2,109,994.39
  5. Step 5: Solve for x
    x = 2,109,994.39/2,408.13
  6. Step 6: Final answer
    x = 876.20

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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.