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Finding the Fourth Proportional to 2,628.15, 3,626.91 and 1,509.68

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Solution

The fourth proportional to 2,628.15, 3,626.91 and 1,509.68 is: 2,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.15 : 3,626.91 = 1,509.68 : x
  2. Step 2: Convert to fraction form
    2,628.15/3,626.91 = 1,509.68/x
  3. Step 3: Cross multiply
    2,628.15x = 3,626.91 × 1,509.68
  4. Step 4: Simplify right side
    2,628.15x = 5,475,455.35
  5. Step 5: Solve for x
    x = 5,475,455.35/2,628.15
  6. Step 6: Final answer
    x = 2,083.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.