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Finding the Fourth Proportional to 1,927.88, 2,661.62 and 1,265.89

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Solution

The fourth proportional to 1,927.88, 2,661.62 and 1,265.89 is: 1,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.88 : 2,661.62 = 1,265.89 : x
  2. Step 2: Convert to fraction form
    1,927.88/2,661.62 = 1,265.89/x
  3. Step 3: Cross multiply
    1,927.88x = 2,661.62 × 1,265.89
  4. Step 4: Simplify right side
    1,927.88x = 3,369,318.14
  5. Step 5: Solve for x
    x = 3,369,318.14/1,927.88
  6. Step 6: Final answer
    x = 1,747.68

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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.