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Finding the Fourth Proportional to 2,417.69, 3,620.22 and 1,319.79

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Solution

The fourth proportional to 2,417.69, 3,620.22 and 1,319.79 is: 1,976.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.69 : 3,620.22 = 1,319.79 : x
  2. Step 2: Convert to fraction form
    2,417.69/3,620.22 = 1,319.79/x
  3. Step 3: Cross multiply
    2,417.69x = 3,620.22 × 1,319.79
  4. Step 4: Simplify right side
    2,417.69x = 4,777,930.15
  5. Step 5: Solve for x
    x = 4,777,930.15/2,417.69
  6. Step 6: Final answer
    x = 1,976.24

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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.