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Finding the Fourth Proportional to 1,730.83, 2,387.86 and 1,101.19

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Solution

The fourth proportional to 1,730.83, 2,387.86 and 1,101.19 is: 1,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.83 : 2,387.86 = 1,101.19 : x
  2. Step 2: Convert to fraction form
    1,730.83/2,387.86 = 1,101.19/x
  3. Step 3: Cross multiply
    1,730.83x = 2,387.86 × 1,101.19
  4. Step 4: Simplify right side
    1,730.83x = 2,629,487.55
  5. Step 5: Solve for x
    x = 2,629,487.55/1,730.83
  6. Step 6: Final answer
    x = 1,519.21

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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.