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Finding the Fourth Proportional to 2,438.24, 3,659.45 and 978.39

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Solution

The fourth proportional to 2,438.24, 3,659.45 and 978.39 is: 1,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.24 : 3,659.45 = 978.39 : x
  2. Step 2: Convert to fraction form
    2,438.24/3,659.45 = 978.39/x
  3. Step 3: Cross multiply
    2,438.24x = 3,659.45 × 978.39
  4. Step 4: Simplify right side
    2,438.24x = 3,580,364.39
  5. Step 5: Solve for x
    x = 3,580,364.39/2,438.24
  6. Step 6: Final answer
    x = 1,468.42

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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.