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Finding the Fourth Proportional to 2,094.76, 3,142.52 and 633.76

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Solution

The fourth proportional to 2,094.76, 3,142.52 and 633.76 is: 950.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.76 : 3,142.52 = 633.76 : x
  2. Step 2: Convert to fraction form
    2,094.76/3,142.52 = 633.76/x
  3. Step 3: Cross multiply
    2,094.76x = 3,142.52 × 633.76
  4. Step 4: Simplify right side
    2,094.76x = 1,991,603.48
  5. Step 5: Solve for x
    x = 1,991,603.48/2,094.76
  6. Step 6: Final answer
    x = 950.75

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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.