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Finding the Fourth Proportional to 2,416, 3,624 and 592

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Solution

The fourth proportional to 2,416, 3,624 and 592 is: 888

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416 : 3,624 = 592 : x
  2. Step 2: Convert to fraction form
    2,416/3,624 = 592/x
  3. Step 3: Cross multiply
    2,416x = 3,624 × 592
  4. Step 4: Simplify right side
    2,416x = 2,145,408
  5. Step 5: Solve for x
    x = 2,145,408/2,416
  6. Step 6: Final answer
    x = 888

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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.