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Finding the Fourth Proportional to 2,582.03, 3,872.47 and 733.11

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Solution

The fourth proportional to 2,582.03, 3,872.47 and 733.11 is: 1,099.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.03 : 3,872.47 = 733.11 : x
  2. Step 2: Convert to fraction form
    2,582.03/3,872.47 = 733.11/x
  3. Step 3: Cross multiply
    2,582.03x = 3,872.47 × 733.11
  4. Step 4: Simplify right side
    2,582.03x = 2,838,923.45
  5. Step 5: Solve for x
    x = 2,838,923.45/2,582.03
  6. Step 6: Final answer
    x = 1,099.49

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Double scale
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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.