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Finding the Fourth Proportional to 3,170.66, 4,753.74 and 978.18

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Solution

The fourth proportional to 3,170.66, 4,753.74 and 978.18 is: 1,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.66 : 4,753.74 = 978.18 : x
  2. Step 2: Convert to fraction form
    3,170.66/4,753.74 = 978.18/x
  3. Step 3: Cross multiply
    3,170.66x = 4,753.74 × 978.18
  4. Step 4: Simplify right side
    3,170.66x = 4,650,013.39
  5. Step 5: Solve for x
    x = 4,650,013.39/3,170.66
  6. Step 6: Final answer
    x = 1,466.58

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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.