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Finding the Fourth Proportional to 2,584.98, 3,565.67 and 2,254.20

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Solution

The fourth proportional to 2,584.98, 3,565.67 and 2,254.20 is: 3,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.98 : 3,565.67 = 2,254.20 : x
  2. Step 2: Convert to fraction form
    2,584.98/3,565.67 = 2,254.20/x
  3. Step 3: Cross multiply
    2,584.98x = 3,565.67 × 2,254.20
  4. Step 4: Simplify right side
    2,584.98x = 8,037,738.95
  5. Step 5: Solve for x
    x = 8,037,738.95/2,584.98
  6. Step 6: Final answer
    x = 3,109.40

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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.