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Finding the Fourth Proportional to 1,903.39, 2,850.10 and 1,531.23

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Solution

The fourth proportional to 1,903.39, 2,850.10 and 1,531.23 is: 2,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.39 : 2,850.10 = 1,531.23 : x
  2. Step 2: Convert to fraction form
    1,903.39/2,850.10 = 1,531.23/x
  3. Step 3: Cross multiply
    1,903.39x = 2,850.10 × 1,531.23
  4. Step 4: Simplify right side
    1,903.39x = 4,364,158.62
  5. Step 5: Solve for x
    x = 4,364,158.62/1,903.39
  6. Step 6: Final answer
    x = 2,292.83

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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.