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Finding the Fourth Proportional to 2,048.32, 3,073.56 and 952.39

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Solution

The fourth proportional to 2,048.32, 3,073.56 and 952.39 is: 1,429.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.32 : 3,073.56 = 952.39 : x
  2. Step 2: Convert to fraction form
    2,048.32/3,073.56 = 952.39/x
  3. Step 3: Cross multiply
    2,048.32x = 3,073.56 × 952.39
  4. Step 4: Simplify right side
    2,048.32x = 2,927,227.81
  5. Step 5: Solve for x
    x = 2,927,227.81/2,048.32
  6. Step 6: Final answer
    x = 1,429.09

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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.