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Finding the Fourth Proportional to 2,734.66, 3,774 and 1,555.94

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Solution

The fourth proportional to 2,734.66, 3,774 and 1,555.94 is: 2,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.66 : 3,774 = 1,555.94 : x
  2. Step 2: Convert to fraction form
    2,734.66/3,774 = 1,555.94/x
  3. Step 3: Cross multiply
    2,734.66x = 3,774 × 1,555.94
  4. Step 4: Simplify right side
    2,734.66x = 5,872,117.56
  5. Step 5: Solve for x
    x = 5,872,117.56/2,734.66
  6. Step 6: Final answer
    x = 2,147.29

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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.