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Finding the Fourth Proportional to 1,580.72, 2,369.71 and 849.44

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Solution

The fourth proportional to 1,580.72, 2,369.71 and 849.44 is: 1,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.72 : 2,369.71 = 849.44 : x
  2. Step 2: Convert to fraction form
    1,580.72/2,369.71 = 849.44/x
  3. Step 3: Cross multiply
    1,580.72x = 2,369.71 × 849.44
  4. Step 4: Simplify right side
    1,580.72x = 2,012,915.34
  5. Step 5: Solve for x
    x = 2,012,915.34/1,580.72
  6. Step 6: Final answer
    x = 1,273.42

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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.