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Finding the Fourth Proportional to 2,273.72, 3,407.82 and 1,039.40

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Solution

The fourth proportional to 2,273.72, 3,407.82 and 1,039.40 is: 1,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.72 : 3,407.82 = 1,039.40 : x
  2. Step 2: Convert to fraction form
    2,273.72/3,407.82 = 1,039.40/x
  3. Step 3: Cross multiply
    2,273.72x = 3,407.82 × 1,039.40
  4. Step 4: Simplify right side
    2,273.72x = 3,542,088.11
  5. Step 5: Solve for x
    x = 3,542,088.11/2,273.72
  6. Step 6: Final answer
    x = 1,557.84

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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.