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Finding the Fourth Proportional to 2,706.84, 3,735.42 and 1,528.14

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Solution

The fourth proportional to 2,706.84, 3,735.42 and 1,528.14 is: 2,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.84 : 3,735.42 = 1,528.14 : x
  2. Step 2: Convert to fraction form
    2,706.84/3,735.42 = 1,528.14/x
  3. Step 3: Cross multiply
    2,706.84x = 3,735.42 × 1,528.14
  4. Step 4: Simplify right side
    2,706.84x = 5,708,244.72
  5. Step 5: Solve for x
    x = 5,708,244.72/2,706.84
  6. Step 6: Final answer
    x = 2,108.82

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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.