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Finding the Fourth Proportional to 2,078.34, 2,868.11 and 1,134.12

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Solution

The fourth proportional to 2,078.34, 2,868.11 and 1,134.12 is: 1,565.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.34 : 2,868.11 = 1,134.12 : x
  2. Step 2: Convert to fraction form
    2,078.34/2,868.11 = 1,134.12/x
  3. Step 3: Cross multiply
    2,078.34x = 2,868.11 × 1,134.12
  4. Step 4: Simplify right side
    2,078.34x = 3,252,780.91
  5. Step 5: Solve for x
    x = 3,252,780.91/2,078.34
  6. Step 6: Final answer
    x = 1,565.09

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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.