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Finding the Fourth Proportional to 2,898, 4,347.54 and 949.77

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Solution

The fourth proportional to 2,898, 4,347.54 and 949.77 is: 1,424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898 : 4,347.54 = 949.77 : x
  2. Step 2: Convert to fraction form
    2,898/4,347.54 = 949.77/x
  3. Step 3: Cross multiply
    2,898x = 4,347.54 × 949.77
  4. Step 4: Simplify right side
    2,898x = 4,129,163.07
  5. Step 5: Solve for x
    x = 4,129,163.07/2,898
  6. Step 6: Final answer
    x = 1,424.83

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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.