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Finding the Fourth Proportional to 2,017.88, 3,024.21 and 906.48

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Solution

The fourth proportional to 2,017.88, 3,024.21 and 906.48 is: 1,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.88 : 3,024.21 = 906.48 : x
  2. Step 2: Convert to fraction form
    2,017.88/3,024.21 = 906.48/x
  3. Step 3: Cross multiply
    2,017.88x = 3,024.21 × 906.48
  4. Step 4: Simplify right side
    2,017.88x = 2,741,378.51
  5. Step 5: Solve for x
    x = 2,741,378.51/2,017.88
  6. Step 6: Final answer
    x = 1,358.54

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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.