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Finding the Fourth Proportional to 2,092.83, 2,888.79 and 1,306.88

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Solution

The fourth proportional to 2,092.83, 2,888.79 and 1,306.88 is: 1,803.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.83 : 2,888.79 = 1,306.88 : x
  2. Step 2: Convert to fraction form
    2,092.83/2,888.79 = 1,306.88/x
  3. Step 3: Cross multiply
    2,092.83x = 2,888.79 × 1,306.88
  4. Step 4: Simplify right side
    2,092.83x = 3,775,287.43
  5. Step 5: Solve for x
    x = 3,775,287.43/2,092.83
  6. Step 6: Final answer
    x = 1,803.92

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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.