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Finding the Fourth Proportional to 3,347.40, 4,618.92 and 1,855.20

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Solution

The fourth proportional to 3,347.40, 4,618.92 and 1,855.20 is: 2,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.40 : 4,618.92 = 1,855.20 : x
  2. Step 2: Convert to fraction form
    3,347.40/4,618.92 = 1,855.20/x
  3. Step 3: Cross multiply
    3,347.40x = 4,618.92 × 1,855.20
  4. Step 4: Simplify right side
    3,347.40x = 8,569,020.38
  5. Step 5: Solve for x
    x = 8,569,020.38/3,347.40
  6. Step 6: Final answer
    x = 2,559.90

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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.