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Finding the Fourth Proportional to 2,732.11, 4,097.68 and 783.86

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Solution

The fourth proportional to 2,732.11, 4,097.68 and 783.86 is: 1,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.11 : 4,097.68 = 783.86 : x
  2. Step 2: Convert to fraction form
    2,732.11/4,097.68 = 783.86/x
  3. Step 3: Cross multiply
    2,732.11x = 4,097.68 × 783.86
  4. Step 4: Simplify right side
    2,732.11x = 3,211,985.00
  5. Step 5: Solve for x
    x = 3,211,985.00/2,732.11
  6. Step 6: Final answer
    x = 1,175.64

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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.