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Finding the Fourth Proportional to 2,774.53, 4,162.52 and 1,387.81

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Solution

The fourth proportional to 2,774.53, 4,162.52 and 1,387.81 is: 2,082.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.53 : 4,162.52 = 1,387.81 : x
  2. Step 2: Convert to fraction form
    2,774.53/4,162.52 = 1,387.81/x
  3. Step 3: Cross multiply
    2,774.53x = 4,162.52 × 1,387.81
  4. Step 4: Simplify right side
    2,774.53x = 5,776,786.88
  5. Step 5: Solve for x
    x = 5,776,786.88/2,774.53
  6. Step 6: Final answer
    x = 2,082.08

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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.