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Finding the Fourth Proportional to 2,259.52, 3,384.02 and 2,197.24

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Solution

The fourth proportional to 2,259.52, 3,384.02 and 2,197.24 is: 3,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.52 : 3,384.02 = 2,197.24 : x
  2. Step 2: Convert to fraction form
    2,259.52/3,384.02 = 2,197.24/x
  3. Step 3: Cross multiply
    2,259.52x = 3,384.02 × 2,197.24
  4. Step 4: Simplify right side
    2,259.52x = 7,435,501.14
  5. Step 5: Solve for x
    x = 7,435,501.14/2,259.52
  6. Step 6: Final answer
    x = 3,290.75

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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.