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Finding the Fourth Proportional to 2,093.28, 3,140.22 and 632.55

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Solution

The fourth proportional to 2,093.28, 3,140.22 and 632.55 is: 948.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.28 : 3,140.22 = 632.55 : x
  2. Step 2: Convert to fraction form
    2,093.28/3,140.22 = 632.55/x
  3. Step 3: Cross multiply
    2,093.28x = 3,140.22 × 632.55
  4. Step 4: Simplify right side
    2,093.28x = 1,986,346.16
  5. Step 5: Solve for x
    x = 1,986,346.16/2,093.28
  6. Step 6: Final answer
    x = 948.92

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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.