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Finding the Fourth Proportional to 2,509.69, 3,764.00 and 1,584.01

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Solution

The fourth proportional to 2,509.69, 3,764.00 and 1,584.01 is: 2,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.69 : 3,764.00 = 1,584.01 : x
  2. Step 2: Convert to fraction form
    2,509.69/3,764.00 = 1,584.01/x
  3. Step 3: Cross multiply
    2,509.69x = 3,764.00 × 1,584.01
  4. Step 4: Simplify right side
    2,509.69x = 5,962,208.19
  5. Step 5: Solve for x
    x = 5,962,208.19/2,509.69
  6. Step 6: Final answer
    x = 2,375.68

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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.