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Finding the Fourth Proportional to 1,865.67, 2,799 and 1,661.64

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Solution

The fourth proportional to 1,865.67, 2,799 and 1,661.64 is: 2,492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.67 : 2,799 = 1,661.64 : x
  2. Step 2: Convert to fraction form
    1,865.67/2,799 = 1,661.64/x
  3. Step 3: Cross multiply
    1,865.67x = 2,799 × 1,661.64
  4. Step 4: Simplify right side
    1,865.67x = 4,650,930.36
  5. Step 5: Solve for x
    x = 4,650,930.36/1,865.67
  6. Step 6: Final answer
    x = 2,492.90

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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.