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Finding the Fourth Proportional to 2,904.42, 4,007.76 and 1,645.62

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Solution

The fourth proportional to 2,904.42, 4,007.76 and 1,645.62 is: 2,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.42 : 4,007.76 = 1,645.62 : x
  2. Step 2: Convert to fraction form
    2,904.42/4,007.76 = 1,645.62/x
  3. Step 3: Cross multiply
    2,904.42x = 4,007.76 × 1,645.62
  4. Step 4: Simplify right side
    2,904.42x = 6,595,250.01
  5. Step 5: Solve for x
    x = 6,595,250.01/2,904.42
  6. Step 6: Final answer
    x = 2,270.76

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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.