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Finding the Fourth Proportional to 1,233.65, 1,851.79 and 1,102.84

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Solution

The fourth proportional to 1,233.65, 1,851.79 and 1,102.84 is: 1,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.65 : 1,851.79 = 1,102.84 : x
  2. Step 2: Convert to fraction form
    1,233.65/1,851.79 = 1,102.84/x
  3. Step 3: Cross multiply
    1,233.65x = 1,851.79 × 1,102.84
  4. Step 4: Simplify right side
    1,233.65x = 2,042,228.08
  5. Step 5: Solve for x
    x = 2,042,228.08/1,233.65
  6. Step 6: Final answer
    x = 1,655.44

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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.