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Finding the Fourth Proportional to 2,775.70, 4,162.94 and 1,603.22

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Solution

The fourth proportional to 2,775.70, 4,162.94 and 1,603.22 is: 2,404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.70 : 4,162.94 = 1,603.22 : x
  2. Step 2: Convert to fraction form
    2,775.70/4,162.94 = 1,603.22/x
  3. Step 3: Cross multiply
    2,775.70x = 4,162.94 × 1,603.22
  4. Step 4: Simplify right side
    2,775.70x = 6,674,100.65
  5. Step 5: Solve for x
    x = 6,674,100.65/2,775.70
  6. Step 6: Final answer
    x = 2,404.48

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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.