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Finding the Fourth Proportional to 3,161.98, 4,741.50 and 970.24

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Solution

The fourth proportional to 3,161.98, 4,741.50 and 970.24 is: 1,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.98 : 4,741.50 = 970.24 : x
  2. Step 2: Convert to fraction form
    3,161.98/4,741.50 = 970.24/x
  3. Step 3: Cross multiply
    3,161.98x = 4,741.50 × 970.24
  4. Step 4: Simplify right side
    3,161.98x = 4,600,392.96
  5. Step 5: Solve for x
    x = 4,600,392.96/3,161.98
  6. Step 6: Final answer
    x = 1,454.91

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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.