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Finding the Fourth Proportional to 2,605.96, 3,588.06 and 2,212.12

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Solution

The fourth proportional to 2,605.96, 3,588.06 and 2,212.12 is: 3,045.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.96 : 3,588.06 = 2,212.12 : x
  2. Step 2: Convert to fraction form
    2,605.96/3,588.06 = 2,212.12/x
  3. Step 3: Cross multiply
    2,605.96x = 3,588.06 × 2,212.12
  4. Step 4: Simplify right side
    2,605.96x = 7,937,219.29
  5. Step 5: Solve for x
    x = 7,937,219.29/2,605.96
  6. Step 6: Final answer
    x = 3,045.79

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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.