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Finding the Fourth Proportional to 2,133.20, 3,197.88 and 978.32

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Solution

The fourth proportional to 2,133.20, 3,197.88 and 978.32 is: 1,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.20 : 3,197.88 = 978.32 : x
  2. Step 2: Convert to fraction form
    2,133.20/3,197.88 = 978.32/x
  3. Step 3: Cross multiply
    2,133.20x = 3,197.88 × 978.32
  4. Step 4: Simplify right side
    2,133.20x = 3,128,549.96
  5. Step 5: Solve for x
    x = 3,128,549.96/2,133.20
  6. Step 6: Final answer
    x = 1,466.60

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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.