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Finding the Fourth Proportional to 3,271.38, 4,514.16 and 1,854.78

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Solution

The fourth proportional to 3,271.38, 4,514.16 and 1,854.78 is: 2,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.38 : 4,514.16 = 1,854.78 : x
  2. Step 2: Convert to fraction form
    3,271.38/4,514.16 = 1,854.78/x
  3. Step 3: Cross multiply
    3,271.38x = 4,514.16 × 1,854.78
  4. Step 4: Simplify right side
    3,271.38x = 8,372,763.71
  5. Step 5: Solve for x
    x = 8,372,763.71/3,271.38
  6. Step 6: Final answer
    x = 2,559.40

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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.