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Finding the Fourth Proportional to 2,439, 3,635.34 and 2,296.98

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Solution

The fourth proportional to 2,439, 3,635.34 and 2,296.98 is: 3,423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439 : 3,635.34 = 2,296.98 : x
  2. Step 2: Convert to fraction form
    2,439/3,635.34 = 2,296.98/x
  3. Step 3: Cross multiply
    2,439x = 3,635.34 × 2,296.98
  4. Step 4: Simplify right side
    2,439x = 8,350,303.27
  5. Step 5: Solve for x
    x = 8,350,303.27/2,439
  6. Step 6: Final answer
    x = 3,423.66

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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.