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Finding the Fourth Proportional to 2,827.80, 4,249.80 and 2,471.40

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Solution

The fourth proportional to 2,827.80, 4,249.80 and 2,471.40 is: 3,714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.80 : 4,249.80 = 2,471.40 : x
  2. Step 2: Convert to fraction form
    2,827.80/4,249.80 = 2,471.40/x
  3. Step 3: Cross multiply
    2,827.80x = 4,249.80 × 2,471.40
  4. Step 4: Simplify right side
    2,827.80x = 10,502,955.72
  5. Step 5: Solve for x
    x = 10,502,955.72/2,827.80
  6. Step 6: Final answer
    x = 3,714.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.