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Finding the Fourth Proportional to 2,901.82, 4,351.81 and 953.57

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Solution

The fourth proportional to 2,901.82, 4,351.81 and 953.57 is: 1,430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.82 : 4,351.81 = 953.57 : x
  2. Step 2: Convert to fraction form
    2,901.82/4,351.81 = 953.57/x
  3. Step 3: Cross multiply
    2,901.82x = 4,351.81 × 953.57
  4. Step 4: Simplify right side
    2,901.82x = 4,149,755.46
  5. Step 5: Solve for x
    x = 4,149,755.46/2,901.82
  6. Step 6: Final answer
    x = 1,430.05

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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.