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Finding the Fourth Proportional to 2,706.32, 3,734.64 and 1,527.32

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Solution

The fourth proportional to 2,706.32, 3,734.64 and 1,527.32 is: 2,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.32 : 3,734.64 = 1,527.32 : x
  2. Step 2: Convert to fraction form
    2,706.32/3,734.64 = 1,527.32/x
  3. Step 3: Cross multiply
    2,706.32x = 3,734.64 × 1,527.32
  4. Step 4: Simplify right side
    2,706.32x = 5,703,990.36
  5. Step 5: Solve for x
    x = 5,703,990.36/2,706.32
  6. Step 6: Final answer
    x = 2,107.66

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1.5x scale

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.