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Finding the Fourth Proportional to 1,898.92, 2,846.72 and 1,021.90

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Solution

The fourth proportional to 1,898.92, 2,846.72 and 1,021.90 is: 1,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.92 : 2,846.72 = 1,021.90 : x
  2. Step 2: Convert to fraction form
    1,898.92/2,846.72 = 1,021.90/x
  3. Step 3: Cross multiply
    1,898.92x = 2,846.72 × 1,021.90
  4. Step 4: Simplify right side
    1,898.92x = 2,909,063.17
  5. Step 5: Solve for x
    x = 2,909,063.17/1,898.92
  6. Step 6: Final answer
    x = 1,531.96

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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.