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Finding the Fourth Proportional to 4,388.80, 6,580.64 and 1,466.24

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Solution

The fourth proportional to 4,388.80, 6,580.64 and 1,466.24 is: 2,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,388.80 : 6,580.64 = 1,466.24 : x
  2. Step 2: Convert to fraction form
    4,388.80/6,580.64 = 1,466.24/x
  3. Step 3: Cross multiply
    4,388.80x = 6,580.64 × 1,466.24
  4. Step 4: Simplify right side
    4,388.80x = 9,648,797.59
  5. Step 5: Solve for x
    x = 9,648,797.59/4,388.80
  6. Step 6: Final answer
    x = 2,198.50

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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.