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Finding the Fourth Proportional to 2,360.71, 3,541.11 and 629.29

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Solution

The fourth proportional to 2,360.71, 3,541.11 and 629.29 is: 943.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.71 : 3,541.11 = 629.29 : x
  2. Step 2: Convert to fraction form
    2,360.71/3,541.11 = 629.29/x
  3. Step 3: Cross multiply
    2,360.71x = 3,541.11 × 629.29
  4. Step 4: Simplify right side
    2,360.71x = 2,228,385.11
  5. Step 5: Solve for x
    x = 2,228,385.11/2,360.71
  6. Step 6: Final answer
    x = 943.95

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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.