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Finding the Fourth Proportional to 4,626.54, 6,940.16 and 1,665.59

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Solution

The fourth proportional to 4,626.54, 6,940.16 and 1,665.59 is: 2,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.54 : 6,940.16 = 1,665.59 : x
  2. Step 2: Convert to fraction form
    4,626.54/6,940.16 = 1,665.59/x
  3. Step 3: Cross multiply
    4,626.54x = 6,940.16 × 1,665.59
  4. Step 4: Simplify right side
    4,626.54x = 11,559,418.07
  5. Step 5: Solve for x
    x = 11,559,418.07/4,626.54
  6. Step 6: Final answer
    x = 2,498.50

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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.