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Finding the Fourth Proportional to 2,423.39, 3,636.89 and 942.84

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Solution

The fourth proportional to 2,423.39, 3,636.89 and 942.84 is: 1,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.39 : 3,636.89 = 942.84 : x
  2. Step 2: Convert to fraction form
    2,423.39/3,636.89 = 942.84/x
  3. Step 3: Cross multiply
    2,423.39x = 3,636.89 × 942.84
  4. Step 4: Simplify right side
    2,423.39x = 3,429,004.19
  5. Step 5: Solve for x
    x = 3,429,004.19/2,423.39
  6. Step 6: Final answer
    x = 1,414.96

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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.