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Finding the Fourth Proportional to 1,204.52, 1,802.68 and 1,049.61

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Solution

The fourth proportional to 1,204.52, 1,802.68 and 1,049.61 is: 1,570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.52 : 1,802.68 = 1,049.61 : x
  2. Step 2: Convert to fraction form
    1,204.52/1,802.68 = 1,049.61/x
  3. Step 3: Cross multiply
    1,204.52x = 1,802.68 × 1,049.61
  4. Step 4: Simplify right side
    1,204.52x = 1,892,107.90
  5. Step 5: Solve for x
    x = 1,892,107.90/1,204.52
  6. Step 6: Final answer
    x = 1,570.84

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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.