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Finding the Fourth Proportional to 2,369.36, 3,265.80 and 1,583.12

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Solution

The fourth proportional to 2,369.36, 3,265.80 and 1,583.12 is: 2,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.36 : 3,265.80 = 1,583.12 : x
  2. Step 2: Convert to fraction form
    2,369.36/3,265.80 = 1,583.12/x
  3. Step 3: Cross multiply
    2,369.36x = 3,265.80 × 1,583.12
  4. Step 4: Simplify right side
    2,369.36x = 5,170,153.30
  5. Step 5: Solve for x
    x = 5,170,153.30/2,369.36
  6. Step 6: Final answer
    x = 2,182.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.