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Finding the Fourth Proportional to 2,768.04, 4,148.55 and 1,123.65

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Solution

The fourth proportional to 2,768.04, 4,148.55 and 1,123.65 is: 1,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.04 : 4,148.55 = 1,123.65 : x
  2. Step 2: Convert to fraction form
    2,768.04/4,148.55 = 1,123.65/x
  3. Step 3: Cross multiply
    2,768.04x = 4,148.55 × 1,123.65
  4. Step 4: Simplify right side
    2,768.04x = 4,661,518.21
  5. Step 5: Solve for x
    x = 4,661,518.21/2,768.04
  6. Step 6: Final answer
    x = 1,684.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.