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Finding the Fourth Proportional to 2,048.27, 3,072.42 and 952.34

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Solution

The fourth proportional to 2,048.27, 3,072.42 and 952.34 is: 1,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.27 : 3,072.42 = 952.34 : x
  2. Step 2: Convert to fraction form
    2,048.27/3,072.42 = 952.34/x
  3. Step 3: Cross multiply
    2,048.27x = 3,072.42 × 952.34
  4. Step 4: Simplify right side
    2,048.27x = 2,925,973.10
  5. Step 5: Solve for x
    x = 2,925,973.10/2,048.27
  6. Step 6: Final answer
    x = 1,428.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.