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Finding the Fourth Proportional to 2,423.36, 3,636.72 and 1,269.92

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Solution

The fourth proportional to 2,423.36, 3,636.72 and 1,269.92 is: 1,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.36 : 3,636.72 = 1,269.92 : x
  2. Step 2: Convert to fraction form
    2,423.36/3,636.72 = 1,269.92/x
  3. Step 3: Cross multiply
    2,423.36x = 3,636.72 × 1,269.92
  4. Step 4: Simplify right side
    2,423.36x = 4,618,343.46
  5. Step 5: Solve for x
    x = 4,618,343.46/2,423.36
  6. Step 6: Final answer
    x = 1,905.76

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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.