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Finding the Fourth Proportional to 2,921.62, 4,030.85 and 1,786.88

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Solution

The fourth proportional to 2,921.62, 4,030.85 and 1,786.88 is: 2,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.62 : 4,030.85 = 1,786.88 : x
  2. Step 2: Convert to fraction form
    2,921.62/4,030.85 = 1,786.88/x
  3. Step 3: Cross multiply
    2,921.62x = 4,030.85 × 1,786.88
  4. Step 4: Simplify right side
    2,921.62x = 7,202,645.25
  5. Step 5: Solve for x
    x = 7,202,645.25/2,921.62
  6. Step 6: Final answer
    x = 2,465.29

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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.