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Finding the Fourth Proportional to 1,942, 2,913.56 and 574

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Solution

The fourth proportional to 1,942, 2,913.56 and 574 is: 861.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942 : 2,913.56 = 574 : x
  2. Step 2: Convert to fraction form
    1,942/2,913.56 = 574/x
  3. Step 3: Cross multiply
    1,942x = 2,913.56 × 574
  4. Step 4: Simplify right side
    1,942x = 1,672,383.44
  5. Step 5: Solve for x
    x = 1,672,383.44/1,942
  6. Step 6: Final answer
    x = 861.17

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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.