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Finding the Fourth Proportional to 2,904.66, 4,008.46 and 1,578.37

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Solution

The fourth proportional to 2,904.66, 4,008.46 and 1,578.37 is: 2,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.66 : 4,008.46 = 1,578.37 : x
  2. Step 2: Convert to fraction form
    2,904.66/4,008.46 = 1,578.37/x
  3. Step 3: Cross multiply
    2,904.66x = 4,008.46 × 1,578.37
  4. Step 4: Simplify right side
    2,904.66x = 6,326,833.01
  5. Step 5: Solve for x
    x = 6,326,833.01/2,904.66
  6. Step 6: Final answer
    x = 2,178.17

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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.