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Finding the Fourth Proportional to 2,886.58, 3,983.24 and 1,767.04

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Solution

The fourth proportional to 2,886.58, 3,983.24 and 1,767.04 is: 2,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.58 : 3,983.24 = 1,767.04 : x
  2. Step 2: Convert to fraction form
    2,886.58/3,983.24 = 1,767.04/x
  3. Step 3: Cross multiply
    2,886.58x = 3,983.24 × 1,767.04
  4. Step 4: Simplify right side
    2,886.58x = 7,038,544.41
  5. Step 5: Solve for x
    x = 7,038,544.41/2,886.58
  6. Step 6: Final answer
    x = 2,438.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.