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Finding the Fourth Proportional to 2,584.31, 3,567.17 and 1,652.81

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Solution

The fourth proportional to 2,584.31, 3,567.17 and 1,652.81 is: 2,281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.31 : 3,567.17 = 1,652.81 : x
  2. Step 2: Convert to fraction form
    2,584.31/3,567.17 = 1,652.81/x
  3. Step 3: Cross multiply
    2,584.31x = 3,567.17 × 1,652.81
  4. Step 4: Simplify right side
    2,584.31x = 5,895,854.25
  5. Step 5: Solve for x
    x = 5,895,854.25/2,584.31
  6. Step 6: Final answer
    x = 2,281.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.