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Finding the Fourth Proportional to 3,161.96, 4,742.61 and 970.70

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Solution

The fourth proportional to 3,161.96, 4,742.61 and 970.70 is: 1,455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.96 : 4,742.61 = 970.70 : x
  2. Step 2: Convert to fraction form
    3,161.96/4,742.61 = 970.70/x
  3. Step 3: Cross multiply
    3,161.96x = 4,742.61 × 970.70
  4. Step 4: Simplify right side
    3,161.96x = 4,603,627.81
  5. Step 5: Solve for x
    x = 4,603,627.81/3,161.96
  6. Step 6: Final answer
    x = 1,455.94

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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.