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Finding the Fourth Proportional to 1,927.88, 2,659.29 and 1,141.73

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Solution

The fourth proportional to 1,927.88, 2,659.29 and 1,141.73 is: 1,574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.88 : 2,659.29 = 1,141.73 : x
  2. Step 2: Convert to fraction form
    1,927.88/2,659.29 = 1,141.73/x
  3. Step 3: Cross multiply
    1,927.88x = 2,659.29 × 1,141.73
  4. Step 4: Simplify right side
    1,927.88x = 3,036,191.17
  5. Step 5: Solve for x
    x = 3,036,191.17/1,927.88
  6. Step 6: Final answer
    x = 1,574.89

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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.