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Finding the Fourth Proportional to 2,584.61, 3,567.14 and 1,465.90

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Solution

The fourth proportional to 2,584.61, 3,567.14 and 1,465.90 is: 2,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.61 : 3,567.14 = 1,465.90 : x
  2. Step 2: Convert to fraction form
    2,584.61/3,567.14 = 1,465.90/x
  3. Step 3: Cross multiply
    2,584.61x = 3,567.14 × 1,465.90
  4. Step 4: Simplify right side
    2,584.61x = 5,229,059.78
  5. Step 5: Solve for x
    x = 5,229,059.78/2,584.61
  6. Step 6: Final answer
    x = 2,023.15

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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.