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Finding the Fourth Proportional to 2,126.55, 3,190.74 and 894.24

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Solution

The fourth proportional to 2,126.55, 3,190.74 and 894.24 is: 1,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.55 : 3,190.74 = 894.24 : x
  2. Step 2: Convert to fraction form
    2,126.55/3,190.74 = 894.24/x
  3. Step 3: Cross multiply
    2,126.55x = 3,190.74 × 894.24
  4. Step 4: Simplify right side
    2,126.55x = 2,853,289.01
  5. Step 5: Solve for x
    x = 2,853,289.01/2,126.55
  6. Step 6: Final answer
    x = 1,341.74

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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.