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Finding the Fourth Proportional to 1,628.86, 2,247.81 and 882.80

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Solution

The fourth proportional to 1,628.86, 2,247.81 and 882.80 is: 1,218.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.86 : 2,247.81 = 882.80 : x
  2. Step 2: Convert to fraction form
    1,628.86/2,247.81 = 882.80/x
  3. Step 3: Cross multiply
    1,628.86x = 2,247.81 × 882.80
  4. Step 4: Simplify right side
    1,628.86x = 1,984,366.75
  5. Step 5: Solve for x
    x = 1,984,366.75/1,628.86
  6. Step 6: Final answer
    x = 1,218.26

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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.