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Finding the Fourth Proportional to 2,034.83, 2,808.13 and 1,150.62

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Solution

The fourth proportional to 2,034.83, 2,808.13 and 1,150.62 is: 1,587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.83 : 2,808.13 = 1,150.62 : x
  2. Step 2: Convert to fraction form
    2,034.83/2,808.13 = 1,150.62/x
  3. Step 3: Cross multiply
    2,034.83x = 2,808.13 × 1,150.62
  4. Step 4: Simplify right side
    2,034.83x = 3,231,081.45
  5. Step 5: Solve for x
    x = 3,231,081.45/2,034.83
  6. Step 6: Final answer
    x = 1,587.89

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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.