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Finding the Fourth Proportional to 2,272.00, 3,127.24 and 1,607.70

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Solution

The fourth proportional to 2,272.00, 3,127.24 and 1,607.70 is: 2,212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.00 : 3,127.24 = 1,607.70 : x
  2. Step 2: Convert to fraction form
    2,272.00/3,127.24 = 1,607.70/x
  3. Step 3: Cross multiply
    2,272.00x = 3,127.24 × 1,607.70
  4. Step 4: Simplify right side
    2,272.00x = 5,027,666.40
  5. Step 5: Solve for x
    x = 5,027,666.40/2,272.00
  6. Step 6: Final answer
    x = 2,212.88

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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.