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Finding the Fourth Proportional to 2,093.55, 3,140.28 and 632.82

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Solution

The fourth proportional to 2,093.55, 3,140.28 and 632.82 is: 949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.55 : 3,140.28 = 632.82 : x
  2. Step 2: Convert to fraction form
    2,093.55/3,140.28 = 632.82/x
  3. Step 3: Cross multiply
    2,093.55x = 3,140.28 × 632.82
  4. Step 4: Simplify right side
    2,093.55x = 1,987,231.99
  5. Step 5: Solve for x
    x = 1,987,231.99/2,093.55
  6. Step 6: Final answer
    x = 949.22

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Double scale
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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.