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Finding the Fourth Proportional to 4,154.65, 6,230.11 and 1,192.42

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Solution

The fourth proportional to 4,154.65, 6,230.11 and 1,192.42 is: 1,788.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.65 : 6,230.11 = 1,192.42 : x
  2. Step 2: Convert to fraction form
    4,154.65/6,230.11 = 1,192.42/x
  3. Step 3: Cross multiply
    4,154.65x = 6,230.11 × 1,192.42
  4. Step 4: Simplify right side
    4,154.65x = 7,428,907.77
  5. Step 5: Solve for x
    x = 7,428,907.77/4,154.65
  6. Step 6: Final answer
    x = 1,788.09

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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.