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Finding the Fourth Proportional to 2,671.40, 3,685.38 and 1,676.52

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Solution

The fourth proportional to 2,671.40, 3,685.38 and 1,676.52 is: 2,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.40 : 3,685.38 = 1,676.52 : x
  2. Step 2: Convert to fraction form
    2,671.40/3,685.38 = 1,676.52/x
  3. Step 3: Cross multiply
    2,671.40x = 3,685.38 × 1,676.52
  4. Step 4: Simplify right side
    2,671.40x = 6,178,613.28
  5. Step 5: Solve for x
    x = 6,178,613.28/2,671.40
  6. Step 6: Final answer
    x = 2,312.87

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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.