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Finding the Fourth Proportional to 1,441.18, 1,987.05 and 851.50

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Solution

The fourth proportional to 1,441.18, 1,987.05 and 851.50 is: 1,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.18 : 1,987.05 = 851.50 : x
  2. Step 2: Convert to fraction form
    1,441.18/1,987.05 = 851.50/x
  3. Step 3: Cross multiply
    1,441.18x = 1,987.05 × 851.50
  4. Step 4: Simplify right side
    1,441.18x = 1,691,963.14
  5. Step 5: Solve for x
    x = 1,691,963.14/1,441.18
  6. Step 6: Final answer
    x = 1,174.02

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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.