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Finding the Fourth Proportional to 3,347.30, 4,618.44 and 1,931.42

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Solution

The fourth proportional to 3,347.30, 4,618.44 and 1,931.42 is: 2,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.30 : 4,618.44 = 1,931.42 : x
  2. Step 2: Convert to fraction form
    3,347.30/4,618.44 = 1,931.42/x
  3. Step 3: Cross multiply
    3,347.30x = 4,618.44 × 1,931.42
  4. Step 4: Simplify right side
    3,347.30x = 8,920,147.38
  5. Step 5: Solve for x
    x = 8,920,147.38/3,347.30
  6. Step 6: Final answer
    x = 2,664.88

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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.