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Finding the Fourth Proportional to 2,584.64, 3,567.30 and 1,590.60

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Solution

The fourth proportional to 2,584.64, 3,567.30 and 1,590.60 is: 2,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.64 : 3,567.30 = 1,590.60 : x
  2. Step 2: Convert to fraction form
    2,584.64/3,567.30 = 1,590.60/x
  3. Step 3: Cross multiply
    2,584.64x = 3,567.30 × 1,590.60
  4. Step 4: Simplify right side
    2,584.64x = 5,674,147.38
  5. Step 5: Solve for x
    x = 5,674,147.38/2,584.64
  6. Step 6: Final answer
    x = 2,195.33

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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.