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Finding the Fourth Proportional to 1,940.88, 2,911.32 and 572.88

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Solution

The fourth proportional to 1,940.88, 2,911.32 and 572.88 is: 859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.88 : 2,911.32 = 572.88 : x
  2. Step 2: Convert to fraction form
    1,940.88/2,911.32 = 572.88/x
  3. Step 3: Cross multiply
    1,940.88x = 2,911.32 × 572.88
  4. Step 4: Simplify right side
    1,940.88x = 1,667,837.00
  5. Step 5: Solve for x
    x = 1,667,837.00/1,940.88
  6. Step 6: Final answer
    x = 859.32

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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.