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Finding the Fourth Proportional to 2,444, 3,660.40 and 1,468.96

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Solution

The fourth proportional to 2,444, 3,660.40 and 1,468.96 is: 2,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444 : 3,660.40 = 1,468.96 : x
  2. Step 2: Convert to fraction form
    2,444/3,660.40 = 1,468.96/x
  3. Step 3: Cross multiply
    2,444x = 3,660.40 × 1,468.96
  4. Step 4: Simplify right side
    2,444x = 5,376,981.18
  5. Step 5: Solve for x
    x = 5,376,981.18/2,444
  6. Step 6: Final answer
    x = 2,200.07

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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.