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Finding the Fourth Proportional to 2,584.78, 3,567.38 and 1,466.00

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Solution

The fourth proportional to 2,584.78, 3,567.38 and 1,466.00 is: 2,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.78 : 3,567.38 = 1,466.00 : x
  2. Step 2: Convert to fraction form
    2,584.78/3,567.38 = 1,466.00/x
  3. Step 3: Cross multiply
    2,584.78x = 3,567.38 × 1,466.00
  4. Step 4: Simplify right side
    2,584.78x = 5,229,767.29
  5. Step 5: Solve for x
    x = 5,229,767.29/2,584.78
  6. Step 6: Final answer
    x = 2,023.29

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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.