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Finding the Fourth Proportional to 1,747.36, 2,622.66 and 882.28

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Solution

The fourth proportional to 1,747.36, 2,622.66 and 882.28 is: 1,324.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.36 : 2,622.66 = 882.28 : x
  2. Step 2: Convert to fraction form
    1,747.36/2,622.66 = 882.28/x
  3. Step 3: Cross multiply
    1,747.36x = 2,622.66 × 882.28
  4. Step 4: Simplify right side
    1,747.36x = 2,313,920.46
  5. Step 5: Solve for x
    x = 2,313,920.46/1,747.36
  6. Step 6: Final answer
    x = 1,324.24

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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.