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Finding the Fourth Proportional to 1,893.80, 2,840.78 and 595.28

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Solution

The fourth proportional to 1,893.80, 2,840.78 and 595.28 is: 892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.80 : 2,840.78 = 595.28 : x
  2. Step 2: Convert to fraction form
    1,893.80/2,840.78 = 595.28/x
  3. Step 3: Cross multiply
    1,893.80x = 2,840.78 × 595.28
  4. Step 4: Simplify right side
    1,893.80x = 1,691,059.52
  5. Step 5: Solve for x
    x = 1,691,059.52/1,893.80
  6. Step 6: Final answer
    x = 892.95

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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.