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Finding the Fourth Proportional to 2,172.16, 2,997.28 and 1,344

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Solution

The fourth proportional to 2,172.16, 2,997.28 and 1,344 is: 1,854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.16 : 2,997.28 = 1,344 : x
  2. Step 2: Convert to fraction form
    2,172.16/2,997.28 = 1,344/x
  3. Step 3: Cross multiply
    2,172.16x = 2,997.28 × 1,344
  4. Step 4: Simplify right side
    2,172.16x = 4,028,344.32
  5. Step 5: Solve for x
    x = 4,028,344.32/2,172.16
  6. Step 6: Final answer
    x = 1,854.53

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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.