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Finding the Fourth Proportional to 1,548.07, 2,136.18 and 884.78

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Solution

The fourth proportional to 1,548.07, 2,136.18 and 884.78 is: 1,220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.07 : 2,136.18 = 884.78 : x
  2. Step 2: Convert to fraction form
    1,548.07/2,136.18 = 884.78/x
  3. Step 3: Cross multiply
    1,548.07x = 2,136.18 × 884.78
  4. Step 4: Simplify right side
    1,548.07x = 1,890,049.34
  5. Step 5: Solve for x
    x = 1,890,049.34/1,548.07
  6. Step 6: Final answer
    x = 1,220.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.