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Finding the Fourth Proportional to 2,093.42, 3,139.22 and 632.30

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Solution

The fourth proportional to 2,093.42, 3,139.22 and 632.30 is: 948.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.42 : 3,139.22 = 632.30 : x
  2. Step 2: Convert to fraction form
    2,093.42/3,139.22 = 632.30/x
  3. Step 3: Cross multiply
    2,093.42x = 3,139.22 × 632.30
  4. Step 4: Simplify right side
    2,093.42x = 1,984,928.81
  5. Step 5: Solve for x
    x = 1,984,928.81/2,093.42
  6. Step 6: Final answer
    x = 948.18

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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.