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Finding the Fourth Proportional to 3,166.64, 4,743.58 and 1,580.58

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Solution

The fourth proportional to 3,166.64, 4,743.58 and 1,580.58 is: 2,367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.64 : 4,743.58 = 1,580.58 : x
  2. Step 2: Convert to fraction form
    3,166.64/4,743.58 = 1,580.58/x
  3. Step 3: Cross multiply
    3,166.64x = 4,743.58 × 1,580.58
  4. Step 4: Simplify right side
    3,166.64x = 7,497,607.68
  5. Step 5: Solve for x
    x = 7,497,607.68/3,166.64
  6. Step 6: Final answer
    x = 2,367.69

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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.