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Finding the Fourth Proportional to 2,904.10, 4,006.74 and 1,645

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Solution

The fourth proportional to 2,904.10, 4,006.74 and 1,645 is: 2,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.10 : 4,006.74 = 1,645 : x
  2. Step 2: Convert to fraction form
    2,904.10/4,006.74 = 1,645/x
  3. Step 3: Cross multiply
    2,904.10x = 4,006.74 × 1,645
  4. Step 4: Simplify right side
    2,904.10x = 6,591,087.30
  5. Step 5: Solve for x
    x = 6,591,087.30/2,904.10
  6. Step 6: Final answer
    x = 2,269.58

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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.