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Finding the Fourth Proportional to 2,861, 4,267.87 and 2,424.98

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Solution

The fourth proportional to 2,861, 4,267.87 and 2,424.98 is: 3,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861 : 4,267.87 = 2,424.98 : x
  2. Step 2: Convert to fraction form
    2,861/4,267.87 = 2,424.98/x
  3. Step 3: Cross multiply
    2,861x = 4,267.87 × 2,424.98
  4. Step 4: Simplify right side
    2,861x = 10,349,499.39
  5. Step 5: Solve for x
    x = 10,349,499.39/2,861
  6. Step 6: Final answer
    x = 3,617.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.