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Finding the Fourth Proportional to 2,104.94, 3,156.32 and 1,227.72

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Solution

The fourth proportional to 2,104.94, 3,156.32 and 1,227.72 is: 1,840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.94 : 3,156.32 = 1,227.72 : x
  2. Step 2: Convert to fraction form
    2,104.94/3,156.32 = 1,227.72/x
  3. Step 3: Cross multiply
    2,104.94x = 3,156.32 × 1,227.72
  4. Step 4: Simplify right side
    2,104.94x = 3,875,077.19
  5. Step 5: Solve for x
    x = 3,875,077.19/2,104.94
  6. Step 6: Final answer
    x = 1,840.94

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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.