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Finding the Fourth Proportional to 2,464.26, 3,696.04 and 1,003.07

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Solution

The fourth proportional to 2,464.26, 3,696.04 and 1,003.07 is: 1,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.26 : 3,696.04 = 1,003.07 : x
  2. Step 2: Convert to fraction form
    2,464.26/3,696.04 = 1,003.07/x
  3. Step 3: Cross multiply
    2,464.26x = 3,696.04 × 1,003.07
  4. Step 4: Simplify right side
    2,464.26x = 3,707,381.83
  5. Step 5: Solve for x
    x = 3,707,381.83/2,464.26
  6. Step 6: Final answer
    x = 1,504.46

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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.