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Finding the Fourth Proportional to 2,504.82, 3,756.56 and 943.83

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Solution

The fourth proportional to 2,504.82, 3,756.56 and 943.83 is: 1,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.82 : 3,756.56 = 943.83 : x
  2. Step 2: Convert to fraction form
    2,504.82/3,756.56 = 943.83/x
  3. Step 3: Cross multiply
    2,504.82x = 3,756.56 × 943.83
  4. Step 4: Simplify right side
    2,504.82x = 3,545,554.02
  5. Step 5: Solve for x
    x = 3,545,554.02/2,504.82
  6. Step 6: Final answer
    x = 1,415.49

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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.