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Finding the Fourth Proportional to 1,856.76, 2,560.96 and 1,297.28

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Solution

The fourth proportional to 1,856.76, 2,560.96 and 1,297.28 is: 1,789.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.76 : 2,560.96 = 1,297.28 : x
  2. Step 2: Convert to fraction form
    1,856.76/2,560.96 = 1,297.28/x
  3. Step 3: Cross multiply
    1,856.76x = 2,560.96 × 1,297.28
  4. Step 4: Simplify right side
    1,856.76x = 3,322,282.19
  5. Step 5: Solve for x
    x = 3,322,282.19/1,856.76
  6. Step 6: Final answer
    x = 1,789.29

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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.