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Finding the Fourth Proportional to 3,466.60, 4,782.72 and 1,974.15

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Solution

The fourth proportional to 3,466.60, 4,782.72 and 1,974.15 is: 2,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.60 : 4,782.72 = 1,974.15 : x
  2. Step 2: Convert to fraction form
    3,466.60/4,782.72 = 1,974.15/x
  3. Step 3: Cross multiply
    3,466.60x = 4,782.72 × 1,974.15
  4. Step 4: Simplify right side
    3,466.60x = 9,441,806.69
  5. Step 5: Solve for x
    x = 9,441,806.69/3,466.60
  6. Step 6: Final answer
    x = 2,723.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.