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Finding the Fourth Proportional to 3,466.64, 4,782.78 and 1,974.02

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Solution

The fourth proportional to 3,466.64, 4,782.78 and 1,974.02 is: 2,723.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.64 : 4,782.78 = 1,974.02 : x
  2. Step 2: Convert to fraction form
    3,466.64/4,782.78 = 1,974.02/x
  3. Step 3: Cross multiply
    3,466.64x = 4,782.78 × 1,974.02
  4. Step 4: Simplify right side
    3,466.64x = 9,441,279.46
  5. Step 5: Solve for x
    x = 9,441,279.46/3,466.64
  6. Step 6: Final answer
    x = 2,723.46

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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.