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Finding the Fourth Proportional to 1,898.10, 2,847.17 and 581.87

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Solution

The fourth proportional to 1,898.10, 2,847.17 and 581.87 is: 872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.10 : 2,847.17 = 581.87 : x
  2. Step 2: Convert to fraction form
    1,898.10/2,847.17 = 581.87/x
  3. Step 3: Cross multiply
    1,898.10x = 2,847.17 × 581.87
  4. Step 4: Simplify right side
    1,898.10x = 1,656,665.66
  5. Step 5: Solve for x
    x = 1,656,665.66/1,898.10
  6. Step 6: Final answer
    x = 872.80

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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.