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Finding the Fourth Proportional to 2,774.42, 4,162.08 and 1,295.12

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Solution

The fourth proportional to 2,774.42, 4,162.08 and 1,295.12 is: 1,942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.42 : 4,162.08 = 1,295.12 : x
  2. Step 2: Convert to fraction form
    2,774.42/4,162.08 = 1,295.12/x
  3. Step 3: Cross multiply
    2,774.42x = 4,162.08 × 1,295.12
  4. Step 4: Simplify right side
    2,774.42x = 5,390,393.05
  5. Step 5: Solve for x
    x = 5,390,393.05/2,774.42
  6. Step 6: Final answer
    x = 1,942.89

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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.