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Finding the Fourth Proportional to 2,753.12, 4,128.66 and 903.88

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Solution

The fourth proportional to 2,753.12, 4,128.66 and 903.88 is: 1,355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.12 : 4,128.66 = 903.88 : x
  2. Step 2: Convert to fraction form
    2,753.12/4,128.66 = 903.88/x
  3. Step 3: Cross multiply
    2,753.12x = 4,128.66 × 903.88
  4. Step 4: Simplify right side
    2,753.12x = 3,731,813.20
  5. Step 5: Solve for x
    x = 3,731,813.20/2,753.12
  6. Step 6: Final answer
    x = 1,355.49

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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.