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Finding the Fourth Proportional to 2,775.72, 4,159.62 and 2,046.36

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Solution

The fourth proportional to 2,775.72, 4,159.62 and 2,046.36 is: 3,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.72 : 4,159.62 = 2,046.36 : x
  2. Step 2: Convert to fraction form
    2,775.72/4,159.62 = 2,046.36/x
  3. Step 3: Cross multiply
    2,775.72x = 4,159.62 × 2,046.36
  4. Step 4: Simplify right side
    2,775.72x = 8,512,079.98
  5. Step 5: Solve for x
    x = 8,512,079.98/2,775.72
  6. Step 6: Final answer
    x = 3,066.62

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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.