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Finding the Fourth Proportional to 2,093.61, 3,140.93 and 632.67

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Solution

The fourth proportional to 2,093.61, 3,140.93 and 632.67 is: 949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.61 : 3,140.93 = 632.67 : x
  2. Step 2: Convert to fraction form
    2,093.61/3,140.93 = 632.67/x
  3. Step 3: Cross multiply
    2,093.61x = 3,140.93 × 632.67
  4. Step 4: Simplify right side
    2,093.61x = 1,987,169.02
  5. Step 5: Solve for x
    x = 1,987,169.02/2,093.61
  6. Step 6: Final answer
    x = 949.16

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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.