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Finding the Fourth Proportional to 2,093.03, 3,139.85 and 632.30

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Solution

The fourth proportional to 2,093.03, 3,139.85 and 632.30 is: 948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.03 : 3,139.85 = 632.30 : x
  2. Step 2: Convert to fraction form
    2,093.03/3,139.85 = 632.30/x
  3. Step 3: Cross multiply
    2,093.03x = 3,139.85 × 632.30
  4. Step 4: Simplify right side
    2,093.03x = 1,985,327.16
  5. Step 5: Solve for x
    x = 1,985,327.16/2,093.03
  6. Step 6: Final answer
    x = 948.54

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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.