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Finding the Fourth Proportional to 2,774.22, 4,162.55 and 1,314.42

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Solution

The fourth proportional to 2,774.22, 4,162.55 and 1,314.42 is: 1,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.22 : 4,162.55 = 1,314.42 : x
  2. Step 2: Convert to fraction form
    2,774.22/4,162.55 = 1,314.42/x
  3. Step 3: Cross multiply
    2,774.22x = 4,162.55 × 1,314.42
  4. Step 4: Simplify right side
    2,774.22x = 5,471,332.40
  5. Step 5: Solve for x
    x = 5,471,332.40/2,774.22
  6. Step 6: Final answer
    x = 1,972.21

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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.