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Finding the Fourth Proportional to 2,428.84, 3,645.08 and 1,606.82

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Solution

The fourth proportional to 2,428.84, 3,645.08 and 1,606.82 is: 2,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.84 : 3,645.08 = 1,606.82 : x
  2. Step 2: Convert to fraction form
    2,428.84/3,645.08 = 1,606.82/x
  3. Step 3: Cross multiply
    2,428.84x = 3,645.08 × 1,606.82
  4. Step 4: Simplify right side
    2,428.84x = 5,856,987.45
  5. Step 5: Solve for x
    x = 5,856,987.45/2,428.84
  6. Step 6: Final answer
    x = 2,411.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.