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Finding the Fourth Proportional to 2,126.63, 3,189.86 and 566.63

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Solution

The fourth proportional to 2,126.63, 3,189.86 and 566.63 is: 849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.63 : 3,189.86 = 566.63 : x
  2. Step 2: Convert to fraction form
    2,126.63/3,189.86 = 566.63/x
  3. Step 3: Cross multiply
    2,126.63x = 3,189.86 × 566.63
  4. Step 4: Simplify right side
    2,126.63x = 1,807,470.37
  5. Step 5: Solve for x
    x = 1,807,470.37/2,126.63
  6. Step 6: Final answer
    x = 849.92

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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.