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Finding the Fourth Proportional to 2,197.73, 3,031.43 and 1,533.74

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Solution

The fourth proportional to 2,197.73, 3,031.43 and 1,533.74 is: 2,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.73 : 3,031.43 = 1,533.74 : x
  2. Step 2: Convert to fraction form
    2,197.73/3,031.43 = 1,533.74/x
  3. Step 3: Cross multiply
    2,197.73x = 3,031.43 × 1,533.74
  4. Step 4: Simplify right side
    2,197.73x = 4,649,402.62
  5. Step 5: Solve for x
    x = 4,649,402.62/2,197.73
  6. Step 6: Final answer
    x = 2,115.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.