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Finding the Fourth Proportional to 1,628.49, 2,247.31 and 882.47

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Solution

The fourth proportional to 1,628.49, 2,247.31 and 882.47 is: 1,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.49 : 2,247.31 = 882.47 : x
  2. Step 2: Convert to fraction form
    1,628.49/2,247.31 = 882.47/x
  3. Step 3: Cross multiply
    1,628.49x = 2,247.31 × 882.47
  4. Step 4: Simplify right side
    1,628.49x = 1,983,180.24
  5. Step 5: Solve for x
    x = 1,983,180.24/1,628.49
  6. Step 6: Final answer
    x = 1,217.80

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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.