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Finding the Fourth Proportional to 2,482.93, 3,724.39 and 634.05

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Solution

The fourth proportional to 2,482.93, 3,724.39 and 634.05 is: 951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.93 : 3,724.39 = 634.05 : x
  2. Step 2: Convert to fraction form
    2,482.93/3,724.39 = 634.05/x
  3. Step 3: Cross multiply
    2,482.93x = 3,724.39 × 634.05
  4. Step 4: Simplify right side
    2,482.93x = 2,361,430.86
  5. Step 5: Solve for x
    x = 2,361,430.86/2,482.93
  6. Step 6: Final answer
    x = 951.07

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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.