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Finding the Fourth Proportional to 2,311.79, 3,467.06 and 1,078.00

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Solution

The fourth proportional to 2,311.79, 3,467.06 and 1,078.00 is: 1,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.79 : 3,467.06 = 1,078.00 : x
  2. Step 2: Convert to fraction form
    2,311.79/3,467.06 = 1,078.00/x
  3. Step 3: Cross multiply
    2,311.79x = 3,467.06 × 1,078.00
  4. Step 4: Simplify right side
    2,311.79x = 3,737,476.04
  5. Step 5: Solve for x
    x = 3,737,476.04/2,311.79
  6. Step 6: Final answer
    x = 1,616.70

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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.