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Finding the Fourth Proportional to 3,167.66, 4,749.87 and 1,851.86

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Solution

The fourth proportional to 3,167.66, 4,749.87 and 1,851.86 is: 2,776.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.66 : 4,749.87 = 1,851.86 : x
  2. Step 2: Convert to fraction form
    3,167.66/4,749.87 = 1,851.86/x
  3. Step 3: Cross multiply
    3,167.66x = 4,749.87 × 1,851.86
  4. Step 4: Simplify right side
    3,167.66x = 8,796,094.26
  5. Step 5: Solve for x
    x = 8,796,094.26/3,167.66
  6. Step 6: Final answer
    x = 2,776.84

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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.