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Finding the Fourth Proportional to 3,369.65, 5,054.90 and 1,178.07

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Solution

The fourth proportional to 3,369.65, 5,054.90 and 1,178.07 is: 1,767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.65 : 5,054.90 = 1,178.07 : x
  2. Step 2: Convert to fraction form
    3,369.65/5,054.90 = 1,178.07/x
  3. Step 3: Cross multiply
    3,369.65x = 5,054.90 × 1,178.07
  4. Step 4: Simplify right side
    3,369.65x = 5,955,020.15
  5. Step 5: Solve for x
    x = 5,955,020.15/3,369.65
  6. Step 6: Final answer
    x = 1,767.25

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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.