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Finding the Fourth Proportional to 2,465.97, 3,696.12 and 1,003.53

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Solution

The fourth proportional to 2,465.97, 3,696.12 and 1,003.53 is: 1,504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.97 : 3,696.12 = 1,003.53 : x
  2. Step 2: Convert to fraction form
    2,465.97/3,696.12 = 1,003.53/x
  3. Step 3: Cross multiply
    2,465.97x = 3,696.12 × 1,003.53
  4. Step 4: Simplify right side
    2,465.97x = 3,709,167.30
  5. Step 5: Solve for x
    x = 3,709,167.30/2,465.97
  6. Step 6: Final answer
    x = 1,504.14

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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.