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Finding the Fourth Proportional to 2,048.09, 3,072.60 and 952.20

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Solution

The fourth proportional to 2,048.09, 3,072.60 and 952.20 is: 1,428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.09 : 3,072.60 = 952.20 : x
  2. Step 2: Convert to fraction form
    2,048.09/3,072.60 = 952.20/x
  3. Step 3: Cross multiply
    2,048.09x = 3,072.60 × 952.20
  4. Step 4: Simplify right side
    2,048.09x = 2,925,729.72
  5. Step 5: Solve for x
    x = 2,925,729.72/2,048.09
  6. Step 6: Final answer
    x = 1,428.52

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1.5x scale

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.