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Finding the Fourth Proportional to 1,575.94, 2,174.46 and 1,340.83

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Solution

The fourth proportional to 1,575.94, 2,174.46 and 1,340.83 is: 1,850.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.94 : 2,174.46 = 1,340.83 : x
  2. Step 2: Convert to fraction form
    1,575.94/2,174.46 = 1,340.83/x
  3. Step 3: Cross multiply
    1,575.94x = 2,174.46 × 1,340.83
  4. Step 4: Simplify right side
    1,575.94x = 2,915,581.20
  5. Step 5: Solve for x
    x = 2,915,581.20/1,575.94
  6. Step 6: Final answer
    x = 1,850.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.