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Finding the Fourth Proportional to 2,957.68, 4,433.82 and 1,801

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Solution

The fourth proportional to 2,957.68, 4,433.82 and 1,801 is: 2,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.68 : 4,433.82 = 1,801 : x
  2. Step 2: Convert to fraction form
    2,957.68/4,433.82 = 1,801/x
  3. Step 3: Cross multiply
    2,957.68x = 4,433.82 × 1,801
  4. Step 4: Simplify right side
    2,957.68x = 7,985,309.82
  5. Step 5: Solve for x
    x = 7,985,309.82/2,957.68
  6. Step 6: Final answer
    x = 2,699.86

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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.