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Finding the Fourth Proportional to 2,266.87, 3,393.70 and 1,684.45

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Solution

The fourth proportional to 2,266.87, 3,393.70 and 1,684.45 is: 2,521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.87 : 3,393.70 = 1,684.45 : x
  2. Step 2: Convert to fraction form
    2,266.87/3,393.70 = 1,684.45/x
  3. Step 3: Cross multiply
    2,266.87x = 3,393.70 × 1,684.45
  4. Step 4: Simplify right side
    2,266.87x = 5,716,513.75
  5. Step 5: Solve for x
    x = 5,716,513.75/2,266.87
  6. Step 6: Final answer
    x = 2,521.77

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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.