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Finding the Fourth Proportional to 2,032.56, 3,048.75 and 992.25

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Solution

The fourth proportional to 2,032.56, 3,048.75 and 992.25 is: 1,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.56 : 3,048.75 = 992.25 : x
  2. Step 2: Convert to fraction form
    2,032.56/3,048.75 = 992.25/x
  3. Step 3: Cross multiply
    2,032.56x = 3,048.75 × 992.25
  4. Step 4: Simplify right side
    2,032.56x = 3,025,122.19
  5. Step 5: Solve for x
    x = 3,025,122.19/2,032.56
  6. Step 6: Final answer
    x = 1,488.33

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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.