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Finding the Fourth Proportional to 2,605.02, 3,596.07 and 1,822.14

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Solution

The fourth proportional to 2,605.02, 3,596.07 and 1,822.14 is: 2,515.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.02 : 3,596.07 = 1,822.14 : x
  2. Step 2: Convert to fraction form
    2,605.02/3,596.07 = 1,822.14/x
  3. Step 3: Cross multiply
    2,605.02x = 3,596.07 × 1,822.14
  4. Step 4: Simplify right side
    2,605.02x = 6,552,542.99
  5. Step 5: Solve for x
    x = 6,552,542.99/2,605.02
  6. Step 6: Final answer
    x = 2,515.35

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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.