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Finding the Fourth Proportional to 2,734.25, 4,093.30 and 1,854.45

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Solution

The fourth proportional to 2,734.25, 4,093.30 and 1,854.45 is: 2,776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.25 : 4,093.30 = 1,854.45 : x
  2. Step 2: Convert to fraction form
    2,734.25/4,093.30 = 1,854.45/x
  3. Step 3: Cross multiply
    2,734.25x = 4,093.30 × 1,854.45
  4. Step 4: Simplify right side
    2,734.25x = 7,590,810.91
  5. Step 5: Solve for x
    x = 7,590,810.91/2,734.25
  6. Step 6: Final answer
    x = 2,776.20

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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.