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Finding the Fourth Proportional to 2,468.66, 3,698.67 and 1,440.50

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Solution

The fourth proportional to 2,468.66, 3,698.67 and 1,440.50 is: 2,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.66 : 3,698.67 = 1,440.50 : x
  2. Step 2: Convert to fraction form
    2,468.66/3,698.67 = 1,440.50/x
  3. Step 3: Cross multiply
    2,468.66x = 3,698.67 × 1,440.50
  4. Step 4: Simplify right side
    2,468.66x = 5,327,934.14
  5. Step 5: Solve for x
    x = 5,327,934.14/2,468.66
  6. Step 6: Final answer
    x = 2,158.23

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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.