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Finding the Fourth Proportional to 2,604.84, 3,591.61 and 2,105.93

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Solution

The fourth proportional to 2,604.84, 3,591.61 and 2,105.93 is: 2,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.84 : 3,591.61 = 2,105.93 : x
  2. Step 2: Convert to fraction form
    2,604.84/3,591.61 = 2,105.93/x
  3. Step 3: Cross multiply
    2,604.84x = 3,591.61 × 2,105.93
  4. Step 4: Simplify right side
    2,604.84x = 7,563,679.25
  5. Step 5: Solve for x
    x = 7,563,679.25/2,604.84
  6. Step 6: Final answer
    x = 2,903.70

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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.