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Finding the Fourth Proportional to 2,093.15, 3,139.71 and 632.30

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Solution

The fourth proportional to 2,093.15, 3,139.71 and 632.30 is: 948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.15 : 3,139.71 = 632.30 : x
  2. Step 2: Convert to fraction form
    2,093.15/3,139.71 = 632.30/x
  3. Step 3: Cross multiply
    2,093.15x = 3,139.71 × 632.30
  4. Step 4: Simplify right side
    2,093.15x = 1,985,222.93
  5. Step 5: Solve for x
    x = 1,985,222.93/2,093.15
  6. Step 6: Final answer
    x = 948.44

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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.