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Finding the Fourth Proportional to 2,093.82, 3,140.75 and 632.98

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Solution

The fourth proportional to 2,093.82, 3,140.75 and 632.98 is: 949.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.82 : 3,140.75 = 632.98 : x
  2. Step 2: Convert to fraction form
    2,093.82/3,140.75 = 632.98/x
  3. Step 3: Cross multiply
    2,093.82x = 3,140.75 × 632.98
  4. Step 4: Simplify right side
    2,093.82x = 1,988,031.94
  5. Step 5: Solve for x
    x = 1,988,031.94/2,093.82
  6. Step 6: Final answer
    x = 949.48

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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.