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Finding the Fourth Proportional to 2,774.80, 4,162.20 and 2,357.20

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Solution

The fourth proportional to 2,774.80, 4,162.20 and 2,357.20 is: 3,535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.80 : 4,162.20 = 2,357.20 : x
  2. Step 2: Convert to fraction form
    2,774.80/4,162.20 = 2,357.20/x
  3. Step 3: Cross multiply
    2,774.80x = 4,162.20 × 2,357.20
  4. Step 4: Simplify right side
    2,774.80x = 9,811,137.84
  5. Step 5: Solve for x
    x = 9,811,137.84/2,774.80
  6. Step 6: Final answer
    x = 3,535.80

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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.