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Finding the Fourth Proportional to 2,277.12, 3,415.07 and 978.29

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Solution

The fourth proportional to 2,277.12, 3,415.07 and 978.29 is: 1,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.12 : 3,415.07 = 978.29 : x
  2. Step 2: Convert to fraction form
    2,277.12/3,415.07 = 978.29/x
  3. Step 3: Cross multiply
    2,277.12x = 3,415.07 × 978.29
  4. Step 4: Simplify right side
    2,277.12x = 3,340,906.86
  5. Step 5: Solve for x
    x = 3,340,906.86/2,277.12
  6. Step 6: Final answer
    x = 1,467.16

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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.