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Finding the Fourth Proportional to 2,032.39, 3,048.06 and 799.81

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Solution

The fourth proportional to 2,032.39, 3,048.06 and 799.81 is: 1,199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.39 : 3,048.06 = 799.81 : x
  2. Step 2: Convert to fraction form
    2,032.39/3,048.06 = 799.81/x
  3. Step 3: Cross multiply
    2,032.39x = 3,048.06 × 799.81
  4. Step 4: Simplify right side
    2,032.39x = 2,437,868.87
  5. Step 5: Solve for x
    x = 2,437,868.87/2,032.39
  6. Step 6: Final answer
    x = 1,199.51

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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.