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Finding the Fourth Proportional to 1,231.40, 1,846.90 and 1,024.50

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Solution

The fourth proportional to 1,231.40, 1,846.90 and 1,024.50 is: 1,536.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.40 : 1,846.90 = 1,024.50 : x
  2. Step 2: Convert to fraction form
    1,231.40/1,846.90 = 1,024.50/x
  3. Step 3: Cross multiply
    1,231.40x = 1,846.90 × 1,024.50
  4. Step 4: Simplify right side
    1,231.40x = 1,892,149.05
  5. Step 5: Solve for x
    x = 1,892,149.05/1,231.40
  6. Step 6: Final answer
    x = 1,536.58

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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.