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Finding the Fourth Proportional to 2,614.98, 3,919.23 and 1,316.82

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Solution

The fourth proportional to 2,614.98, 3,919.23 and 1,316.82 is: 1,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.98 : 3,919.23 = 1,316.82 : x
  2. Step 2: Convert to fraction form
    2,614.98/3,919.23 = 1,316.82/x
  3. Step 3: Cross multiply
    2,614.98x = 3,919.23 × 1,316.82
  4. Step 4: Simplify right side
    2,614.98x = 5,160,920.45
  5. Step 5: Solve for x
    x = 5,160,920.45/2,614.98
  6. Step 6: Final answer
    x = 1,973.60

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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.