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Finding the Fourth Proportional to 2,265, 3,397.54 and 705.06

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Solution

The fourth proportional to 2,265, 3,397.54 and 705.06 is: 1,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265 : 3,397.54 = 705.06 : x
  2. Step 2: Convert to fraction form
    2,265/3,397.54 = 705.06/x
  3. Step 3: Cross multiply
    2,265x = 3,397.54 × 705.06
  4. Step 4: Simplify right side
    2,265x = 2,395,469.55
  5. Step 5: Solve for x
    x = 2,395,469.55/2,265
  6. Step 6: Final answer
    x = 1,057.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.