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Finding the Fourth Proportional to 2,886.48, 3,983.72 and 1,767.56

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Solution

The fourth proportional to 2,886.48, 3,983.72 and 1,767.56 is: 2,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.48 : 3,983.72 = 1,767.56 : x
  2. Step 2: Convert to fraction form
    2,886.48/3,983.72 = 1,767.56/x
  3. Step 3: Cross multiply
    2,886.48x = 3,983.72 × 1,767.56
  4. Step 4: Simplify right side
    2,886.48x = 7,041,435.37
  5. Step 5: Solve for x
    x = 7,041,435.37/2,886.48
  6. Step 6: Final answer
    x = 2,439.45

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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.