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Finding the Fourth Proportional to 1,536.78, 2,305.17 and 886.17

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Solution

The fourth proportional to 1,536.78, 2,305.17 and 886.17 is: 1,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.78 : 2,305.17 = 886.17 : x
  2. Step 2: Convert to fraction form
    1,536.78/2,305.17 = 886.17/x
  3. Step 3: Cross multiply
    1,536.78x = 2,305.17 × 886.17
  4. Step 4: Simplify right side
    1,536.78x = 2,042,772.50
  5. Step 5: Solve for x
    x = 2,042,772.50/1,536.78
  6. Step 6: Final answer
    x = 1,329.26

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Double scale
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1.5x scale

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.