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Finding the Fourth Proportional to 2,584.12, 3,566 and 1,465.16

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Solution

The fourth proportional to 2,584.12, 3,566 and 1,465.16 is: 2,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.12 : 3,566 = 1,465.16 : x
  2. Step 2: Convert to fraction form
    2,584.12/3,566 = 1,465.16/x
  3. Step 3: Cross multiply
    2,584.12x = 3,566 × 1,465.16
  4. Step 4: Simplify right side
    2,584.12x = 5,224,742.73
  5. Step 5: Solve for x
    x = 5,224,742.73/2,584.12
  6. Step 6: Final answer
    x = 2,021.87

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