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Finding the Fourth Proportional to 2,463.80, 3,696.71 and 1,003.37

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Solution

The fourth proportional to 2,463.80, 3,696.71 and 1,003.37 is: 1,505.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.80 : 3,696.71 = 1,003.37 : x
  2. Step 2: Convert to fraction form
    2,463.80/3,696.71 = 1,003.37/x
  3. Step 3: Cross multiply
    2,463.80x = 3,696.71 × 1,003.37
  4. Step 4: Simplify right side
    2,463.80x = 3,709,144.41
  5. Step 5: Solve for x
    x = 3,709,144.41/2,463.80
  6. Step 6: Final answer
    x = 1,505.46

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