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Finding the Fourth Proportional to 2,408, 3,612 and 584

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Solution

The fourth proportional to 2,408, 3,612 and 584 is: 876

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408 : 3,612 = 584 : x
  2. Step 2: Convert to fraction form
    2,408/3,612 = 584/x
  3. Step 3: Cross multiply
    2,408x = 3,612 × 584
  4. Step 4: Simplify right side
    2,408x = 2,109,408
  5. Step 5: Solve for x
    x = 2,109,408/2,408
  6. Step 6: Final answer
    x = 876

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Why These Related Problems?

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