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Finding the Fourth Proportional to 2,093.86, 3,141.30 and 632.93

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Solution

The fourth proportional to 2,093.86, 3,141.30 and 632.93 is: 949.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.86 : 3,141.30 = 632.93 : x
  2. Step 2: Convert to fraction form
    2,093.86/3,141.30 = 632.93/x
  3. Step 3: Cross multiply
    2,093.86x = 3,141.30 × 632.93
  4. Step 4: Simplify right side
    2,093.86x = 1,988,223.01
  5. Step 5: Solve for x
    x = 1,988,223.01/2,093.86
  6. Step 6: Final answer
    x = 949.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.