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Finding the Fourth Proportional to 3,178.58, 4,767.08 and 1,098.65

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Solution

The fourth proportional to 3,178.58, 4,767.08 and 1,098.65 is: 1,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.58 : 4,767.08 = 1,098.65 : x
  2. Step 2: Convert to fraction form
    3,178.58/4,767.08 = 1,098.65/x
  3. Step 3: Cross multiply
    3,178.58x = 4,767.08 × 1,098.65
  4. Step 4: Simplify right side
    3,178.58x = 5,237,323.11
  5. Step 5: Solve for x
    x = 5,237,323.11/3,178.58
  6. Step 6: Final answer
    x = 1,647.70

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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.