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Finding the Fourth Proportional to 2,297.55, 3,171.15 and 1,353.45

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Solution

The fourth proportional to 2,297.55, 3,171.15 and 1,353.45 is: 1,868.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.55 : 3,171.15 = 1,353.45 : x
  2. Step 2: Convert to fraction form
    2,297.55/3,171.15 = 1,353.45/x
  3. Step 3: Cross multiply
    2,297.55x = 3,171.15 × 1,353.45
  4. Step 4: Simplify right side
    2,297.55x = 4,291,992.97
  5. Step 5: Solve for x
    x = 4,291,992.97/2,297.55
  6. Step 6: Final answer
    x = 1,868.07

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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.