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Finding the Fourth Proportional to 2,048.72, 3,072.42 and 815.90

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Solution

The fourth proportional to 2,048.72, 3,072.42 and 815.90 is: 1,223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.72 : 3,072.42 = 815.90 : x
  2. Step 2: Convert to fraction form
    2,048.72/3,072.42 = 815.90/x
  3. Step 3: Cross multiply
    2,048.72x = 3,072.42 × 815.90
  4. Step 4: Simplify right side
    2,048.72x = 2,506,787.48
  5. Step 5: Solve for x
    x = 2,506,787.48/2,048.72
  6. Step 6: Final answer
    x = 1,223.59

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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.