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Finding the Fourth Proportional to 2,706.40, 3,734.22 and 1,527.04

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Solution

The fourth proportional to 2,706.40, 3,734.22 and 1,527.04 is: 2,106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.40 : 3,734.22 = 1,527.04 : x
  2. Step 2: Convert to fraction form
    2,706.40/3,734.22 = 1,527.04/x
  3. Step 3: Cross multiply
    2,706.40x = 3,734.22 × 1,527.04
  4. Step 4: Simplify right side
    2,706.40x = 5,702,305.11
  5. Step 5: Solve for x
    x = 5,702,305.11/2,706.40
  6. Step 6: Final answer
    x = 2,106.97

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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.