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Finding the Fourth Proportional to 4,627.78, 6,942.16 and 1,507.66

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Solution

The fourth proportional to 4,627.78, 6,942.16 and 1,507.66 is: 2,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.78 : 6,942.16 = 1,507.66 : x
  2. Step 2: Convert to fraction form
    4,627.78/6,942.16 = 1,507.66/x
  3. Step 3: Cross multiply
    4,627.78x = 6,942.16 × 1,507.66
  4. Step 4: Simplify right side
    4,627.78x = 10,466,416.95
  5. Step 5: Solve for x
    x = 10,466,416.95/4,627.78
  6. Step 6: Final answer
    x = 2,261.65

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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.