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Finding the Fourth Proportional to 2,599.06, 3,584.14 and 1,604.13

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Solution

The fourth proportional to 2,599.06, 3,584.14 and 1,604.13 is: 2,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.06 : 3,584.14 = 1,604.13 : x
  2. Step 2: Convert to fraction form
    2,599.06/3,584.14 = 1,604.13/x
  3. Step 3: Cross multiply
    2,599.06x = 3,584.14 × 1,604.13
  4. Step 4: Simplify right side
    2,599.06x = 5,749,426.50
  5. Step 5: Solve for x
    x = 5,749,426.50/2,599.06
  6. Step 6: Final answer
    x = 2,212.12

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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.