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Finding the Fourth Proportional to 2,773.82, 4,162.54 and 1,476.20

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Solution

The fourth proportional to 2,773.82, 4,162.54 and 1,476.20 is: 2,215.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.82 : 4,162.54 = 1,476.20 : x
  2. Step 2: Convert to fraction form
    2,773.82/4,162.54 = 1,476.20/x
  3. Step 3: Cross multiply
    2,773.82x = 4,162.54 × 1,476.20
  4. Step 4: Simplify right side
    2,773.82x = 6,144,741.55
  5. Step 5: Solve for x
    x = 6,144,741.55/2,773.82
  6. Step 6: Final answer
    x = 2,215.26

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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.