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Finding the Fourth Proportional to 2,073.83, 3,111.65 and 1,099.69

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Solution

The fourth proportional to 2,073.83, 3,111.65 and 1,099.69 is: 1,650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.83 : 3,111.65 = 1,099.69 : x
  2. Step 2: Convert to fraction form
    2,073.83/3,111.65 = 1,099.69/x
  3. Step 3: Cross multiply
    2,073.83x = 3,111.65 × 1,099.69
  4. Step 4: Simplify right side
    2,073.83x = 3,421,841.23
  5. Step 5: Solve for x
    x = 3,421,841.23/2,073.83
  6. Step 6: Final answer
    x = 1,650.01

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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.