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Finding the Fourth Proportional to 2,734.52, 3,774.48 and 2,036.84

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Solution

The fourth proportional to 2,734.52, 3,774.48 and 2,036.84 is: 2,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.52 : 3,774.48 = 2,036.84 : x
  2. Step 2: Convert to fraction form
    2,734.52/3,774.48 = 2,036.84/x
  3. Step 3: Cross multiply
    2,734.52x = 3,774.48 × 2,036.84
  4. Step 4: Simplify right side
    2,734.52x = 7,688,011.84
  5. Step 5: Solve for x
    x = 7,688,011.84/2,734.52
  6. Step 6: Final answer
    x = 2,811.47

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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.