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Finding the Fourth Proportional to 2,218.96, 3,328.40 and 575.37

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Solution

The fourth proportional to 2,218.96, 3,328.40 and 575.37 is: 863.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.96 : 3,328.40 = 575.37 : x
  2. Step 2: Convert to fraction form
    2,218.96/3,328.40 = 575.37/x
  3. Step 3: Cross multiply
    2,218.96x = 3,328.40 × 575.37
  4. Step 4: Simplify right side
    2,218.96x = 1,915,044.87
  5. Step 5: Solve for x
    x = 1,915,044.87/2,218.96
  6. Step 6: Final answer
    x = 863.04

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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.