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Finding the Fourth Proportional to 2,706.16, 3,732.03 and 1,709.71

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Solution

The fourth proportional to 2,706.16, 3,732.03 and 1,709.71 is: 2,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.16 : 3,732.03 = 1,709.71 : x
  2. Step 2: Convert to fraction form
    2,706.16/3,732.03 = 1,709.71/x
  3. Step 3: Cross multiply
    2,706.16x = 3,732.03 × 1,709.71
  4. Step 4: Simplify right side
    2,706.16x = 6,380,689.01
  5. Step 5: Solve for x
    x = 6,380,689.01/2,706.16
  6. Step 6: Final answer
    x = 2,357.84

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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.