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Finding the Fourth Proportional to 3,170.70, 4,756.02 and 978.90

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Solution

The fourth proportional to 3,170.70, 4,756.02 and 978.90 is: 1,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.70 : 4,756.02 = 978.90 : x
  2. Step 2: Convert to fraction form
    3,170.70/4,756.02 = 978.90/x
  3. Step 3: Cross multiply
    3,170.70x = 4,756.02 × 978.90
  4. Step 4: Simplify right side
    3,170.70x = 4,655,667.98
  5. Step 5: Solve for x
    x = 4,655,667.98/3,170.70
  6. Step 6: Final answer
    x = 1,468.34

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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.