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Finding the Fourth Proportional to 3,084.71, 4,256.93 and 1,687.46

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Solution

The fourth proportional to 3,084.71, 4,256.93 and 1,687.46 is: 2,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.71 : 4,256.93 = 1,687.46 : x
  2. Step 2: Convert to fraction form
    3,084.71/4,256.93 = 1,687.46/x
  3. Step 3: Cross multiply
    3,084.71x = 4,256.93 × 1,687.46
  4. Step 4: Simplify right side
    3,084.71x = 7,183,390.66
  5. Step 5: Solve for x
    x = 7,183,390.66/3,084.71
  6. Step 6: Final answer
    x = 2,328.71

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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.