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Finding the Fourth Proportional to 1,216.06, 1,686.02 and 1,192.30

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Solution

The fourth proportional to 1,216.06, 1,686.02 and 1,192.30 is: 1,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.06 : 1,686.02 = 1,192.30 : x
  2. Step 2: Convert to fraction form
    1,216.06/1,686.02 = 1,192.30/x
  3. Step 3: Cross multiply
    1,216.06x = 1,686.02 × 1,192.30
  4. Step 4: Simplify right side
    1,216.06x = 2,010,241.65
  5. Step 5: Solve for x
    x = 2,010,241.65/1,216.06
  6. Step 6: Final answer
    x = 1,653.08

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.