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Finding the Fourth Proportional to 2,266.88, 3,400.68 and 1,290.98

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Solution

The fourth proportional to 2,266.88, 3,400.68 and 1,290.98 is: 1,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.88 : 3,400.68 = 1,290.98 : x
  2. Step 2: Convert to fraction form
    2,266.88/3,400.68 = 1,290.98/x
  3. Step 3: Cross multiply
    2,266.88x = 3,400.68 × 1,290.98
  4. Step 4: Simplify right side
    2,266.88x = 4,390,209.87
  5. Step 5: Solve for x
    x = 4,390,209.87/2,266.88
  6. Step 6: Final answer
    x = 1,936.68

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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.