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Finding the Fourth Proportional to 1,897.71, 2,847.44 and 727.32

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Solution

The fourth proportional to 1,897.71, 2,847.44 and 727.32 is: 1,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.71 : 2,847.44 = 727.32 : x
  2. Step 2: Convert to fraction form
    1,897.71/2,847.44 = 727.32/x
  3. Step 3: Cross multiply
    1,897.71x = 2,847.44 × 727.32
  4. Step 4: Simplify right side
    1,897.71x = 2,071,008.47
  5. Step 5: Solve for x
    x = 2,071,008.47/1,897.71
  6. Step 6: Final answer
    x = 1,091.32

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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.