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Finding the Fourth Proportional to 2,024.42, 2,793.22 and 1,140.22

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Solution

The fourth proportional to 2,024.42, 2,793.22 and 1,140.22 is: 1,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.42 : 2,793.22 = 1,140.22 : x
  2. Step 2: Convert to fraction form
    2,024.42/2,793.22 = 1,140.22/x
  3. Step 3: Cross multiply
    2,024.42x = 2,793.22 × 1,140.22
  4. Step 4: Simplify right side
    2,024.42x = 3,184,885.31
  5. Step 5: Solve for x
    x = 3,184,885.31/2,024.42
  6. Step 6: Final answer
    x = 1,573.23

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.