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Finding the Fourth Proportional to 2,438.60, 3,657.90 and 978.80

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Solution

The fourth proportional to 2,438.60, 3,657.90 and 978.80 is: 1,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.60 : 3,657.90 = 978.80 : x
  2. Step 2: Convert to fraction form
    2,438.60/3,657.90 = 978.80/x
  3. Step 3: Cross multiply
    2,438.60x = 3,657.90 × 978.80
  4. Step 4: Simplify right side
    2,438.60x = 3,580,352.52
  5. Step 5: Solve for x
    x = 3,580,352.52/2,438.60
  6. Step 6: Final answer
    x = 1,468.20

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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.