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Finding the Fourth Proportional to 2,464.03, 3,696.05 and 1,002.83

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Solution

The fourth proportional to 2,464.03, 3,696.05 and 1,002.83 is: 1,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.03 : 3,696.05 = 1,002.83 : x
  2. Step 2: Convert to fraction form
    2,464.03/3,696.05 = 1,002.83/x
  3. Step 3: Cross multiply
    2,464.03x = 3,696.05 × 1,002.83
  4. Step 4: Simplify right side
    2,464.03x = 3,706,504.81
  5. Step 5: Solve for x
    x = 3,706,504.81/2,464.03
  6. Step 6: Final answer
    x = 1,504.25

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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.