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Finding the Fourth Proportional to 2,093.29, 3,140.54 and 632.66

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Solution

The fourth proportional to 2,093.29, 3,140.54 and 632.66 is: 949.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.29 : 3,140.54 = 632.66 : x
  2. Step 2: Convert to fraction form
    2,093.29/3,140.54 = 632.66/x
  3. Step 3: Cross multiply
    2,093.29x = 3,140.54 × 632.66
  4. Step 4: Simplify right side
    2,093.29x = 1,986,887.77
  5. Step 5: Solve for x
    x = 1,986,887.77/2,093.29
  6. Step 6: Final answer
    x = 949.17

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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.