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Finding the Fourth Proportional to 2,050.29, 3,073.03 and 952.35

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Solution

The fourth proportional to 2,050.29, 3,073.03 and 952.35 is: 1,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.29 : 3,073.03 = 952.35 : x
  2. Step 2: Convert to fraction form
    2,050.29/3,073.03 = 952.35/x
  3. Step 3: Cross multiply
    2,050.29x = 3,073.03 × 952.35
  4. Step 4: Simplify right side
    2,050.29x = 2,926,600.12
  5. Step 5: Solve for x
    x = 2,926,600.12/2,050.29
  6. Step 6: Final answer
    x = 1,427.41

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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.