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Finding the Fourth Proportional to 2,503.17, 3,755.29 and 943.65

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Solution

The fourth proportional to 2,503.17, 3,755.29 and 943.65 is: 1,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.17 : 3,755.29 = 943.65 : x
  2. Step 2: Convert to fraction form
    2,503.17/3,755.29 = 943.65/x
  3. Step 3: Cross multiply
    2,503.17x = 3,755.29 × 943.65
  4. Step 4: Simplify right side
    2,503.17x = 3,543,679.41
  5. Step 5: Solve for x
    x = 3,543,679.41/2,503.17
  6. Step 6: Final answer
    x = 1,415.68

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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.