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Finding the Fourth Proportional to 2,088.93, 2,882.71 and 1,144.73

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Solution

The fourth proportional to 2,088.93, 2,882.71 and 1,144.73 is: 1,579.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.93 : 2,882.71 = 1,144.73 : x
  2. Step 2: Convert to fraction form
    2,088.93/2,882.71 = 1,144.73/x
  3. Step 3: Cross multiply
    2,088.93x = 2,882.71 × 1,144.73
  4. Step 4: Simplify right side
    2,088.93x = 3,299,924.62
  5. Step 5: Solve for x
    x = 3,299,924.62/2,088.93
  6. Step 6: Final answer
    x = 1,579.72

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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.