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Finding the Fourth Proportional to 2,734.83, 3,774.16 and 1,555.98

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Solution

The fourth proportional to 2,734.83, 3,774.16 and 1,555.98 is: 2,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.83 : 3,774.16 = 1,555.98 : x
  2. Step 2: Convert to fraction form
    2,734.83/3,774.16 = 1,555.98/x
  3. Step 3: Cross multiply
    2,734.83x = 3,774.16 × 1,555.98
  4. Step 4: Simplify right side
    2,734.83x = 5,872,513.59
  5. Step 5: Solve for x
    x = 5,872,513.59/2,734.83
  6. Step 6: Final answer
    x = 2,147.30

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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.