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Finding the Fourth Proportional to 2,099.39, 2,897.19 and 1,155.29

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Solution

The fourth proportional to 2,099.39, 2,897.19 and 1,155.29 is: 1,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.39 : 2,897.19 = 1,155.29 : x
  2. Step 2: Convert to fraction form
    2,099.39/2,897.19 = 1,155.29/x
  3. Step 3: Cross multiply
    2,099.39x = 2,897.19 × 1,155.29
  4. Step 4: Simplify right side
    2,099.39x = 3,347,093.92
  5. Step 5: Solve for x
    x = 3,347,093.92/2,099.39
  6. Step 6: Final answer
    x = 1,594.32

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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.