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Finding the Fourth Proportional to 2,991.42, 4,480.74 and 1,429.11

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Solution

The fourth proportional to 2,991.42, 4,480.74 and 1,429.11 is: 2,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.42 : 4,480.74 = 1,429.11 : x
  2. Step 2: Convert to fraction form
    2,991.42/4,480.74 = 1,429.11/x
  3. Step 3: Cross multiply
    2,991.42x = 4,480.74 × 1,429.11
  4. Step 4: Simplify right side
    2,991.42x = 6,403,470.34
  5. Step 5: Solve for x
    x = 6,403,470.34/2,991.42
  6. Step 6: Final answer
    x = 2,140.61

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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.