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Finding the Fourth Proportional to 2,088.84, 2,882.60 and 1,144.65

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Solution

The fourth proportional to 2,088.84, 2,882.60 and 1,144.65 is: 1,579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.84 : 2,882.60 = 1,144.65 : x
  2. Step 2: Convert to fraction form
    2,088.84/2,882.60 = 1,144.65/x
  3. Step 3: Cross multiply
    2,088.84x = 2,882.60 × 1,144.65
  4. Step 4: Simplify right side
    2,088.84x = 3,299,562.37
  5. Step 5: Solve for x
    x = 3,299,562.37/2,088.84
  6. Step 6: Final answer
    x = 1,579.61

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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.