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Finding the Fourth Proportional to 2,032.45, 3,047.45 and 862.27

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Solution

The fourth proportional to 2,032.45, 3,047.45 and 862.27 is: 1,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.45 : 3,047.45 = 862.27 : x
  2. Step 2: Convert to fraction form
    2,032.45/3,047.45 = 862.27/x
  3. Step 3: Cross multiply
    2,032.45x = 3,047.45 × 862.27
  4. Step 4: Simplify right side
    2,032.45x = 2,627,719.25
  5. Step 5: Solve for x
    x = 2,627,719.25/2,032.45
  6. Step 6: Final answer
    x = 1,292.88

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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.