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Finding the Fourth Proportional to 1,856.32, 2,781.28 and 1,305.92

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Solution

The fourth proportional to 1,856.32, 2,781.28 and 1,305.92 is: 1,956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.32 : 2,781.28 = 1,305.92 : x
  2. Step 2: Convert to fraction form
    1,856.32/2,781.28 = 1,305.92/x
  3. Step 3: Cross multiply
    1,856.32x = 2,781.28 × 1,305.92
  4. Step 4: Simplify right side
    1,856.32x = 3,632,129.18
  5. Step 5: Solve for x
    x = 3,632,129.18/1,856.32
  6. Step 6: Final answer
    x = 1,956.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.