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Finding the Fourth Proportional to 2,705.84, 3,734.06 and 1,527.16

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Solution

The fourth proportional to 2,705.84, 3,734.06 and 1,527.16 is: 2,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.84 : 3,734.06 = 1,527.16 : x
  2. Step 2: Convert to fraction form
    2,705.84/3,734.06 = 1,527.16/x
  3. Step 3: Cross multiply
    2,705.84x = 3,734.06 × 1,527.16
  4. Step 4: Simplify right side
    2,705.84x = 5,702,507.07
  5. Step 5: Solve for x
    x = 5,702,507.07/2,705.84
  6. Step 6: Final answer
    x = 2,107.48

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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.