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Finding the Fourth Proportional to 3,084.28, 4,256.34 and 1,687

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Solution

The fourth proportional to 3,084.28, 4,256.34 and 1,687 is: 2,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.28 : 4,256.34 = 1,687 : x
  2. Step 2: Convert to fraction form
    3,084.28/4,256.34 = 1,687/x
  3. Step 3: Cross multiply
    3,084.28x = 4,256.34 × 1,687
  4. Step 4: Simplify right side
    3,084.28x = 7,180,445.58
  5. Step 5: Solve for x
    x = 7,180,445.58/3,084.28
  6. Step 6: Final answer
    x = 2,328.08

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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.