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Finding the Fourth Proportional to 3,005.04, 4,509.18 and 2,274.42

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Solution

The fourth proportional to 3,005.04, 4,509.18 and 2,274.42 is: 3,412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.04 : 4,509.18 = 2,274.42 : x
  2. Step 2: Convert to fraction form
    3,005.04/4,509.18 = 2,274.42/x
  3. Step 3: Cross multiply
    3,005.04x = 4,509.18 × 2,274.42
  4. Step 4: Simplify right side
    3,005.04x = 10,255,769.18
  5. Step 5: Solve for x
    x = 10,255,769.18/3,005.04
  6. Step 6: Final answer
    x = 3,412.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.