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Finding the Fourth Proportional to 3,307.35, 4,564.31 and 2,049.07

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Solution

The fourth proportional to 3,307.35, 4,564.31 and 2,049.07 is: 2,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.35 : 4,564.31 = 2,049.07 : x
  2. Step 2: Convert to fraction form
    3,307.35/4,564.31 = 2,049.07/x
  3. Step 3: Cross multiply
    3,307.35x = 4,564.31 × 2,049.07
  4. Step 4: Simplify right side
    3,307.35x = 9,352,584.40
  5. Step 5: Solve for x
    x = 9,352,584.40/3,307.35
  6. Step 6: Final answer
    x = 2,827.81

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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.