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Finding the Fourth Proportional to 2,255.76, 3,384.26 and 2,038.88

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Solution

The fourth proportional to 2,255.76, 3,384.26 and 2,038.88 is: 3,058.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.76 : 3,384.26 = 2,038.88 : x
  2. Step 2: Convert to fraction form
    2,255.76/3,384.26 = 2,038.88/x
  3. Step 3: Cross multiply
    2,255.76x = 3,384.26 × 2,038.88
  4. Step 4: Simplify right side
    2,255.76x = 6,900,100.03
  5. Step 5: Solve for x
    x = 6,900,100.03/2,255.76
  6. Step 6: Final answer
    x = 3,058.88

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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.