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Finding the Fourth Proportional to 3,170.53, 4,756.31 and 978.75

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Solution

The fourth proportional to 3,170.53, 4,756.31 and 978.75 is: 1,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.53 : 4,756.31 = 978.75 : x
  2. Step 2: Convert to fraction form
    3,170.53/4,756.31 = 978.75/x
  3. Step 3: Cross multiply
    3,170.53x = 4,756.31 × 978.75
  4. Step 4: Simplify right side
    3,170.53x = 4,655,238.41
  5. Step 5: Solve for x
    x = 4,655,238.41/3,170.53
  6. Step 6: Final answer
    x = 1,468.28

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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.