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Finding the Fourth Proportional to 3,307.68, 4,564.05 and 2,049.06

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Solution

The fourth proportional to 3,307.68, 4,564.05 and 2,049.06 is: 2,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.68 : 4,564.05 = 2,049.06 : x
  2. Step 2: Convert to fraction form
    3,307.68/4,564.05 = 2,049.06/x
  3. Step 3: Cross multiply
    3,307.68x = 4,564.05 × 2,049.06
  4. Step 4: Simplify right side
    3,307.68x = 9,352,012.29
  5. Step 5: Solve for x
    x = 9,352,012.29/3,307.68
  6. Step 6: Final answer
    x = 2,827.36

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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.