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Finding the Fourth Proportional to 2,034.80, 2,807.84 and 1,150.68

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Solution

The fourth proportional to 2,034.80, 2,807.84 and 1,150.68 is: 1,587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.80 : 2,807.84 = 1,150.68 : x
  2. Step 2: Convert to fraction form
    2,034.80/2,807.84 = 1,150.68/x
  3. Step 3: Cross multiply
    2,034.80x = 2,807.84 × 1,150.68
  4. Step 4: Simplify right side
    2,034.80x = 3,230,925.33
  5. Step 5: Solve for x
    x = 3,230,925.33/2,034.80
  6. Step 6: Final answer
    x = 1,587.83

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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.