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Finding the Fourth Proportional to 2,365.22, 3,549.24 and 978.57

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Solution

The fourth proportional to 2,365.22, 3,549.24 and 978.57 is: 1,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.22 : 3,549.24 = 978.57 : x
  2. Step 2: Convert to fraction form
    2,365.22/3,549.24 = 978.57/x
  3. Step 3: Cross multiply
    2,365.22x = 3,549.24 × 978.57
  4. Step 4: Simplify right side
    2,365.22x = 3,473,179.79
  5. Step 5: Solve for x
    x = 3,473,179.79/2,365.22
  6. Step 6: Final answer
    x = 1,468.44

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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.