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Finding the Fourth Proportional to 2,093.42, 3,139.92 and 632.54

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Solution

The fourth proportional to 2,093.42, 3,139.92 and 632.54 is: 948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.42 : 3,139.92 = 632.54 : x
  2. Step 2: Convert to fraction form
    2,093.42/3,139.92 = 632.54/x
  3. Step 3: Cross multiply
    2,093.42x = 3,139.92 × 632.54
  4. Step 4: Simplify right side
    2,093.42x = 1,986,125.00
  5. Step 5: Solve for x
    x = 1,986,125.00/2,093.42
  6. Step 6: Final answer
    x = 948.75

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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.