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Finding the Fourth Proportional to 2,991.98, 4,488.02 and 1,143.19

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Solution

The fourth proportional to 2,991.98, 4,488.02 and 1,143.19 is: 1,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.98 : 4,488.02 = 1,143.19 : x
  2. Step 2: Convert to fraction form
    2,991.98/4,488.02 = 1,143.19/x
  3. Step 3: Cross multiply
    2,991.98x = 4,488.02 × 1,143.19
  4. Step 4: Simplify right side
    2,991.98x = 5,130,663.76
  5. Step 5: Solve for x
    x = 5,130,663.76/2,991.98
  6. Step 6: Final answer
    x = 1,714.80

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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.