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Finding the Fourth Proportional to 2,115.69, 2,919.69 and 1,319.34

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Solution

The fourth proportional to 2,115.69, 2,919.69 and 1,319.34 is: 1,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.69 : 2,919.69 = 1,319.34 : x
  2. Step 2: Convert to fraction form
    2,115.69/2,919.69 = 1,319.34/x
  3. Step 3: Cross multiply
    2,115.69x = 2,919.69 × 1,319.34
  4. Step 4: Simplify right side
    2,115.69x = 3,852,063.80
  5. Step 5: Solve for x
    x = 3,852,063.80/2,115.69
  6. Step 6: Final answer
    x = 1,820.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.