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Finding the Fourth Proportional to 3,178.80, 4,767.66 and 1,098.72

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Solution

The fourth proportional to 3,178.80, 4,767.66 and 1,098.72 is: 1,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.80 : 4,767.66 = 1,098.72 : x
  2. Step 2: Convert to fraction form
    3,178.80/4,767.66 = 1,098.72/x
  3. Step 3: Cross multiply
    3,178.80x = 4,767.66 × 1,098.72
  4. Step 4: Simplify right side
    3,178.80x = 5,238,323.40
  5. Step 5: Solve for x
    x = 5,238,323.40/3,178.80
  6. Step 6: Final answer
    x = 1,647.89

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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.