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Finding the Fourth Proportional to 2,584, 3,565.92 and 1,464.96

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Solution

The fourth proportional to 2,584, 3,565.92 and 1,464.96 is: 2,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584 : 3,565.92 = 1,464.96 : x
  2. Step 2: Convert to fraction form
    2,584/3,565.92 = 1,464.96/x
  3. Step 3: Cross multiply
    2,584x = 3,565.92 × 1,464.96
  4. Step 4: Simplify right side
    2,584x = 5,223,930.16
  5. Step 5: Solve for x
    x = 5,223,930.16/2,584
  6. Step 6: Final answer
    x = 2,021.64

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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.