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Finding the Fourth Proportional to 2,093.45, 3,140.74 and 632.65

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Solution

The fourth proportional to 2,093.45, 3,140.74 and 632.65 is: 949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.45 : 3,140.74 = 632.65 : x
  2. Step 2: Convert to fraction form
    2,093.45/3,140.74 = 632.65/x
  3. Step 3: Cross multiply
    2,093.45x = 3,140.74 × 632.65
  4. Step 4: Simplify right side
    2,093.45x = 1,986,989.16
  5. Step 5: Solve for x
    x = 1,986,989.16/2,093.45
  6. Step 6: Final answer
    x = 949.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.