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Finding the Fourth Proportional to 3,069.94, 4,606.02 and 1,509.78

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Solution

The fourth proportional to 3,069.94, 4,606.02 and 1,509.78 is: 2,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.94 : 4,606.02 = 1,509.78 : x
  2. Step 2: Convert to fraction form
    3,069.94/4,606.02 = 1,509.78/x
  3. Step 3: Cross multiply
    3,069.94x = 4,606.02 × 1,509.78
  4. Step 4: Simplify right side
    3,069.94x = 6,954,076.88
  5. Step 5: Solve for x
    x = 6,954,076.88/3,069.94
  6. Step 6: Final answer
    x = 2,265.22

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Why These Related Problems?

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