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Finding the Fourth Proportional to 2,097.19, 2,894.12 and 1,165.69

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Solution

The fourth proportional to 2,097.19, 2,894.12 and 1,165.69 is: 1,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.19 : 2,894.12 = 1,165.69 : x
  2. Step 2: Convert to fraction form
    2,097.19/2,894.12 = 1,165.69/x
  3. Step 3: Cross multiply
    2,097.19x = 2,894.12 × 1,165.69
  4. Step 4: Simplify right side
    2,097.19x = 3,373,638.05
  5. Step 5: Solve for x
    x = 3,373,638.05/2,097.19
  6. Step 6: Final answer
    x = 1,608.65

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