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Finding the Fourth Proportional to 2,288.03, 3,432.03 and 556.65

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Solution

The fourth proportional to 2,288.03, 3,432.03 and 556.65 is: 834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.03 : 3,432.03 = 556.65 : x
  2. Step 2: Convert to fraction form
    2,288.03/3,432.03 = 556.65/x
  3. Step 3: Cross multiply
    2,288.03x = 3,432.03 × 556.65
  4. Step 4: Simplify right side
    2,288.03x = 1,910,439.50
  5. Step 5: Solve for x
    x = 1,910,439.50/2,288.03
  6. Step 6: Final answer
    x = 834.97

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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.