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Finding the Fourth Proportional to 3,161.23, 4,742.55 and 970.18

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Solution

The fourth proportional to 3,161.23, 4,742.55 and 970.18 is: 1,455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.23 : 4,742.55 = 970.18 : x
  2. Step 2: Convert to fraction form
    3,161.23/4,742.55 = 970.18/x
  3. Step 3: Cross multiply
    3,161.23x = 4,742.55 × 970.18
  4. Step 4: Simplify right side
    3,161.23x = 4,601,115.30
  5. Step 5: Solve for x
    x = 4,601,115.30/3,161.23
  6. Step 6: Final answer
    x = 1,455.48

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1.5x scale

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.