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Finding the Fourth Proportional to 2,705.94, 3,734.22 and 1,527.02

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Solution

The fourth proportional to 2,705.94, 3,734.22 and 1,527.02 is: 2,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.94 : 3,734.22 = 1,527.02 : x
  2. Step 2: Convert to fraction form
    2,705.94/3,734.22 = 1,527.02/x
  3. Step 3: Cross multiply
    2,705.94x = 3,734.22 × 1,527.02
  4. Step 4: Simplify right side
    2,705.94x = 5,702,228.62
  5. Step 5: Solve for x
    x = 5,702,228.62/2,705.94
  6. Step 6: Final answer
    x = 2,107.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.