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Finding the Fourth Proportional to 1,841.15, 2,763.09 and 1,019.66

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Solution

The fourth proportional to 1,841.15, 2,763.09 and 1,019.66 is: 1,530.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.15 : 2,763.09 = 1,019.66 : x
  2. Step 2: Convert to fraction form
    1,841.15/2,763.09 = 1,019.66/x
  3. Step 3: Cross multiply
    1,841.15x = 2,763.09 × 1,019.66
  4. Step 4: Simplify right side
    1,841.15x = 2,817,398.53
  5. Step 5: Solve for x
    x = 2,817,398.53/1,841.15
  6. Step 6: Final answer
    x = 1,530.24

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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.