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Finding the Fourth Proportional to 2,904.41, 4,008.12 and 1,645.52

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Solution

The fourth proportional to 2,904.41, 4,008.12 and 1,645.52 is: 2,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.41 : 4,008.12 = 1,645.52 : x
  2. Step 2: Convert to fraction form
    2,904.41/4,008.12 = 1,645.52/x
  3. Step 3: Cross multiply
    2,904.41x = 4,008.12 × 1,645.52
  4. Step 4: Simplify right side
    2,904.41x = 6,595,441.62
  5. Step 5: Solve for x
    x = 6,595,441.62/2,904.41
  6. Step 6: Final answer
    x = 2,270.84

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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.