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Finding the Fourth Proportional to 2,789.24, 3,843 and 1,856.12

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Solution

The fourth proportional to 2,789.24, 3,843 and 1,856.12 is: 2,557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.24 : 3,843 = 1,856.12 : x
  2. Step 2: Convert to fraction form
    2,789.24/3,843 = 1,856.12/x
  3. Step 3: Cross multiply
    2,789.24x = 3,843 × 1,856.12
  4. Step 4: Simplify right side
    2,789.24x = 7,133,069.16
  5. Step 5: Solve for x
    x = 7,133,069.16/2,789.24
  6. Step 6: Final answer
    x = 2,557.35

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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.