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Finding the Fourth Proportional to 2,991.90, 4,126.50 and 2,656.16

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Solution

The fourth proportional to 2,991.90, 4,126.50 and 2,656.16 is: 3,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.90 : 4,126.50 = 2,656.16 : x
  2. Step 2: Convert to fraction form
    2,991.90/4,126.50 = 2,656.16/x
  3. Step 3: Cross multiply
    2,991.90x = 4,126.50 × 2,656.16
  4. Step 4: Simplify right side
    2,991.90x = 10,960,644.24
  5. Step 5: Solve for x
    x = 10,960,644.24/2,991.90
  6. Step 6: Final answer
    x = 3,663.44

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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.