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Finding the Fourth Proportional to 4,117.80, 6,176.80 and 1,196.13

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Solution

The fourth proportional to 4,117.80, 6,176.80 and 1,196.13 is: 1,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.80 : 6,176.80 = 1,196.13 : x
  2. Step 2: Convert to fraction form
    4,117.80/6,176.80 = 1,196.13/x
  3. Step 3: Cross multiply
    4,117.80x = 6,176.80 × 1,196.13
  4. Step 4: Simplify right side
    4,117.80x = 7,388,255.78
  5. Step 5: Solve for x
    x = 7,388,255.78/4,117.80
  6. Step 6: Final answer
    x = 1,794.22

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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.