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Finding the Fourth Proportional to 2,901.48, 4,352.66 and 953.22

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Solution

The fourth proportional to 2,901.48, 4,352.66 and 953.22 is: 1,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.48 : 4,352.66 = 953.22 : x
  2. Step 2: Convert to fraction form
    2,901.48/4,352.66 = 953.22/x
  3. Step 3: Cross multiply
    2,901.48x = 4,352.66 × 953.22
  4. Step 4: Simplify right side
    2,901.48x = 4,149,042.57
  5. Step 5: Solve for x
    x = 4,149,042.57/2,901.48
  6. Step 6: Final answer
    x = 1,429.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.