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Finding the Fourth Proportional to 2,588.80, 3,883.12 and 1,049.76

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Solution

The fourth proportional to 2,588.80, 3,883.12 and 1,049.76 is: 1,574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.80 : 3,883.12 = 1,049.76 : x
  2. Step 2: Convert to fraction form
    2,588.80/3,883.12 = 1,049.76/x
  3. Step 3: Cross multiply
    2,588.80x = 3,883.12 × 1,049.76
  4. Step 4: Simplify right side
    2,588.80x = 4,076,344.05
  5. Step 5: Solve for x
    x = 4,076,344.05/2,588.80
  6. Step 6: Final answer
    x = 1,574.61

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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.