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Finding the Fourth Proportional to 3,162.66, 4,741.74 and 970.20

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Solution

The fourth proportional to 3,162.66, 4,741.74 and 970.20 is: 1,454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.66 : 4,741.74 = 970.20 : x
  2. Step 2: Convert to fraction form
    3,162.66/4,741.74 = 970.20/x
  3. Step 3: Cross multiply
    3,162.66x = 4,741.74 × 970.20
  4. Step 4: Simplify right side
    3,162.66x = 4,600,436.15
  5. Step 5: Solve for x
    x = 4,600,436.15/3,162.66
  6. Step 6: Final answer
    x = 1,454.61

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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.