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Finding the Fourth Proportional to 1,229.37, 1,842.14 and 1,046.01

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Solution

The fourth proportional to 1,229.37, 1,842.14 and 1,046.01 is: 1,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.37 : 1,842.14 = 1,046.01 : x
  2. Step 2: Convert to fraction form
    1,229.37/1,842.14 = 1,046.01/x
  3. Step 3: Cross multiply
    1,229.37x = 1,842.14 × 1,046.01
  4. Step 4: Simplify right side
    1,229.37x = 1,926,891.63
  5. Step 5: Solve for x
    x = 1,926,891.63/1,229.37
  6. Step 6: Final answer
    x = 1,567.38

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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.