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Finding the Fourth Proportional to 3,123, 4,677.84 and 2,024.10

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Solution

The fourth proportional to 3,123, 4,677.84 and 2,024.10 is: 3,031.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123 : 4,677.84 = 2,024.10 : x
  2. Step 2: Convert to fraction form
    3,123/4,677.84 = 2,024.10/x
  3. Step 3: Cross multiply
    3,123x = 4,677.84 × 2,024.10
  4. Step 4: Simplify right side
    3,123x = 9,468,415.94
  5. Step 5: Solve for x
    x = 9,468,415.94/3,123
  6. Step 6: Final answer
    x = 3,031.83

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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.