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Finding the Fourth Proportional to 2,424.06, 3,636.18 and 2,297.70

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Solution

The fourth proportional to 2,424.06, 3,636.18 and 2,297.70 is: 3,446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.06 : 3,636.18 = 2,297.70 : x
  2. Step 2: Convert to fraction form
    2,424.06/3,636.18 = 2,297.70/x
  3. Step 3: Cross multiply
    2,424.06x = 3,636.18 × 2,297.70
  4. Step 4: Simplify right side
    2,424.06x = 8,354,850.79
  5. Step 5: Solve for x
    x = 8,354,850.79/2,424.06
  6. Step 6: Final answer
    x = 3,446.64

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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.