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Finding the Fourth Proportional to 2,991.51, 4,486.22 and 1,143.14

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Solution

The fourth proportional to 2,991.51, 4,486.22 and 1,143.14 is: 1,714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.51 : 4,486.22 = 1,143.14 : x
  2. Step 2: Convert to fraction form
    2,991.51/4,486.22 = 1,143.14/x
  3. Step 3: Cross multiply
    2,991.51x = 4,486.22 × 1,143.14
  4. Step 4: Simplify right side
    2,991.51x = 5,128,349.38
  5. Step 5: Solve for x
    x = 5,128,349.38/2,991.51
  6. Step 6: Final answer
    x = 1,714.30

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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.