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Finding the Fourth Proportional to 2,898.73, 4,348.70 and 950.78

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Solution

The fourth proportional to 2,898.73, 4,348.70 and 950.78 is: 1,426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.73 : 4,348.70 = 950.78 : x
  2. Step 2: Convert to fraction form
    2,898.73/4,348.70 = 950.78/x
  3. Step 3: Cross multiply
    2,898.73x = 4,348.70 × 950.78
  4. Step 4: Simplify right side
    2,898.73x = 4,134,656.99
  5. Step 5: Solve for x
    x = 4,134,656.99/2,898.73
  6. Step 6: Final answer
    x = 1,426.37

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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.