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Finding the Fourth Proportional to 2,583.86, 3,564.11 and 2,253.08

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Solution

The fourth proportional to 2,583.86, 3,564.11 and 2,253.08 is: 3,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.86 : 3,564.11 = 2,253.08 : x
  2. Step 2: Convert to fraction form
    2,583.86/3,564.11 = 2,253.08/x
  3. Step 3: Cross multiply
    2,583.86x = 3,564.11 × 2,253.08
  4. Step 4: Simplify right side
    2,583.86x = 8,030,239.50
  5. Step 5: Solve for x
    x = 8,030,239.50/2,583.86
  6. Step 6: Final answer
    x = 3,107.85

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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.