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Finding the Fourth Proportional to 2,291.96, 3,165.48 and 1,544.61

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Solution

The fourth proportional to 2,291.96, 3,165.48 and 1,544.61 is: 2,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.96 : 3,165.48 = 1,544.61 : x
  2. Step 2: Convert to fraction form
    2,291.96/3,165.48 = 1,544.61/x
  3. Step 3: Cross multiply
    2,291.96x = 3,165.48 × 1,544.61
  4. Step 4: Simplify right side
    2,291.96x = 4,889,432.06
  5. Step 5: Solve for x
    x = 4,889,432.06/2,291.96
  6. Step 6: Final answer
    x = 2,133.30

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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.