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Finding the Fourth Proportional to 3,165.00, 4,367.64 and 1,838.71

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Solution

The fourth proportional to 3,165.00, 4,367.64 and 1,838.71 is: 2,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.00 : 4,367.64 = 1,838.71 : x
  2. Step 2: Convert to fraction form
    3,165.00/4,367.64 = 1,838.71/x
  3. Step 3: Cross multiply
    3,165.00x = 4,367.64 × 1,838.71
  4. Step 4: Simplify right side
    3,165.00x = 8,030,823.34
  5. Step 5: Solve for x
    x = 8,030,823.34/3,165.00
  6. Step 6: Final answer
    x = 2,537.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.