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Finding the Fourth Proportional to 1,701.80, 2,344.18 and 1,203.56

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Solution

The fourth proportional to 1,701.80, 2,344.18 and 1,203.56 is: 1,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.80 : 2,344.18 = 1,203.56 : x
  2. Step 2: Convert to fraction form
    1,701.80/2,344.18 = 1,203.56/x
  3. Step 3: Cross multiply
    1,701.80x = 2,344.18 × 1,203.56
  4. Step 4: Simplify right side
    1,701.80x = 2,821,361.28
  5. Step 5: Solve for x
    x = 2,821,361.28/1,701.80
  6. Step 6: Final answer
    x = 1,657.87

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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.