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Finding the Fourth Proportional to 2,972.56, 4,102.16 and 1,646.22

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Solution

The fourth proportional to 2,972.56, 4,102.16 and 1,646.22 is: 2,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.56 : 4,102.16 = 1,646.22 : x
  2. Step 2: Convert to fraction form
    2,972.56/4,102.16 = 1,646.22/x
  3. Step 3: Cross multiply
    2,972.56x = 4,102.16 × 1,646.22
  4. Step 4: Simplify right side
    2,972.56x = 6,753,057.84
  5. Step 5: Solve for x
    x = 6,753,057.84/2,972.56
  6. Step 6: Final answer
    x = 2,271.80

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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.