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Finding the Fourth Proportional to 1,442.90, 2,164.37 and 519.12

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Solution

The fourth proportional to 1,442.90, 2,164.37 and 519.12 is: 778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.90 : 2,164.37 = 519.12 : x
  2. Step 2: Convert to fraction form
    1,442.90/2,164.37 = 519.12/x
  3. Step 3: Cross multiply
    1,442.90x = 2,164.37 × 519.12
  4. Step 4: Simplify right side
    1,442.90x = 1,123,557.04
  5. Step 5: Solve for x
    x = 1,123,557.04/1,442.90
  6. Step 6: Final answer
    x = 778.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.