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Finding the Fourth Proportional to 2,904.94, 4,007.24 and 2,508.24

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Solution

The fourth proportional to 2,904.94, 4,007.24 and 2,508.24 is: 3,460.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.94 : 4,007.24 = 2,508.24 : x
  2. Step 2: Convert to fraction form
    2,904.94/4,007.24 = 2,508.24/x
  3. Step 3: Cross multiply
    2,904.94x = 4,007.24 × 2,508.24
  4. Step 4: Simplify right side
    2,904.94x = 10,051,119.66
  5. Step 5: Solve for x
    x = 10,051,119.66/2,904.94
  6. Step 6: Final answer
    x = 3,460.01

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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.