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Finding the Fourth Proportional to 1,294.22, 1,942.34 and 948.47

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Solution

The fourth proportional to 1,294.22, 1,942.34 and 948.47 is: 1,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.22 : 1,942.34 = 948.47 : x
  2. Step 2: Convert to fraction form
    1,294.22/1,942.34 = 948.47/x
  3. Step 3: Cross multiply
    1,294.22x = 1,942.34 × 948.47
  4. Step 4: Simplify right side
    1,294.22x = 1,842,236.77
  5. Step 5: Solve for x
    x = 1,842,236.77/1,294.22
  6. Step 6: Final answer
    x = 1,423.43

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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.