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Finding the Fourth Proportional to 2,533, 3,800.28 and 2,271.35

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Solution

The fourth proportional to 2,533, 3,800.28 and 2,271.35 is: 3,407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533 : 3,800.28 = 2,271.35 : x
  2. Step 2: Convert to fraction form
    2,533/3,800.28 = 2,271.35/x
  3. Step 3: Cross multiply
    2,533x = 3,800.28 × 2,271.35
  4. Step 4: Simplify right side
    2,533x = 8,631,765.98
  5. Step 5: Solve for x
    x = 8,631,765.98/2,533
  6. Step 6: Final answer
    x = 3,407.72

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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.