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Finding the Fourth Proportional to 2,584.24, 3,866.64 and 2,098.24

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Solution

The fourth proportional to 2,584.24, 3,866.64 and 2,098.24 is: 3,139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.24 : 3,866.64 = 2,098.24 : x
  2. Step 2: Convert to fraction form
    2,584.24/3,866.64 = 2,098.24/x
  3. Step 3: Cross multiply
    2,584.24x = 3,866.64 × 2,098.24
  4. Step 4: Simplify right side
    2,584.24x = 8,113,138.71
  5. Step 5: Solve for x
    x = 8,113,138.71/2,584.24
  6. Step 6: Final answer
    x = 3,139.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.