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Finding the Fourth Proportional to 2,489.22, 3,734.06 and 1,256.00

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Solution

The fourth proportional to 2,489.22, 3,734.06 and 1,256.00 is: 1,884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.22 : 3,734.06 = 1,256.00 : x
  2. Step 2: Convert to fraction form
    2,489.22/3,734.06 = 1,256.00/x
  3. Step 3: Cross multiply
    2,489.22x = 3,734.06 × 1,256.00
  4. Step 4: Simplify right side
    2,489.22x = 4,689,954.41
  5. Step 5: Solve for x
    x = 4,689,954.41/2,489.22
  6. Step 6: Final answer
    x = 1,884.11

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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.