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Finding the Fourth Proportional to 2,261.61, 3,121.02 and 1,266.93

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Solution

The fourth proportional to 2,261.61, 3,121.02 and 1,266.93 is: 1,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.61 : 3,121.02 = 1,266.93 : x
  2. Step 2: Convert to fraction form
    2,261.61/3,121.02 = 1,266.93/x
  3. Step 3: Cross multiply
    2,261.61x = 3,121.02 × 1,266.93
  4. Step 4: Simplify right side
    2,261.61x = 3,954,113.87
  5. Step 5: Solve for x
    x = 3,954,113.87/2,261.61
  6. Step 6: Final answer
    x = 1,748.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.