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Finding the Fourth Proportional to 2,318.54, 3,477.66 and 1,002.26

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Solution

The fourth proportional to 2,318.54, 3,477.66 and 1,002.26 is: 1,503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.54 : 3,477.66 = 1,002.26 : x
  2. Step 2: Convert to fraction form
    2,318.54/3,477.66 = 1,002.26/x
  3. Step 3: Cross multiply
    2,318.54x = 3,477.66 × 1,002.26
  4. Step 4: Simplify right side
    2,318.54x = 3,485,519.51
  5. Step 5: Solve for x
    x = 3,485,519.51/2,318.54
  6. Step 6: Final answer
    x = 1,503.33

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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.