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Finding the Fourth Proportional to 2,032.04, 3,048.12 and 799.40

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Solution

The fourth proportional to 2,032.04, 3,048.12 and 799.40 is: 1,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.04 : 3,048.12 = 799.40 : x
  2. Step 2: Convert to fraction form
    2,032.04/3,048.12 = 799.40/x
  3. Step 3: Cross multiply
    2,032.04x = 3,048.12 × 799.40
  4. Step 4: Simplify right side
    2,032.04x = 2,436,667.13
  5. Step 5: Solve for x
    x = 2,436,667.13/2,032.04
  6. Step 6: Final answer
    x = 1,199.12

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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.