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Finding the Fourth Proportional to 3,004.69, 4,509.12 and 1,772.86

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Solution

The fourth proportional to 3,004.69, 4,509.12 and 1,772.86 is: 2,660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.69 : 4,509.12 = 1,772.86 : x
  2. Step 2: Convert to fraction form
    3,004.69/4,509.12 = 1,772.86/x
  3. Step 3: Cross multiply
    3,004.69x = 4,509.12 × 1,772.86
  4. Step 4: Simplify right side
    3,004.69x = 7,994,038.48
  5. Step 5: Solve for x
    x = 7,994,038.48/3,004.69
  6. Step 6: Final answer
    x = 2,660.52

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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.