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Finding the Fourth Proportional to 2,482.02, 3,722.70 and 632.97

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Solution

The fourth proportional to 2,482.02, 3,722.70 and 632.97 is: 949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.02 : 3,722.70 = 632.97 : x
  2. Step 2: Convert to fraction form
    2,482.02/3,722.70 = 632.97/x
  3. Step 3: Cross multiply
    2,482.02x = 3,722.70 × 632.97
  4. Step 4: Simplify right side
    2,482.02x = 2,356,357.42
  5. Step 5: Solve for x
    x = 2,356,357.42/2,482.02
  6. Step 6: Final answer
    x = 949.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.