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Finding the Fourth Proportional to 2,097.83, 2,894.33 and 1,350.47

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Solution

The fourth proportional to 2,097.83, 2,894.33 and 1,350.47 is: 1,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.83 : 2,894.33 = 1,350.47 : x
  2. Step 2: Convert to fraction form
    2,097.83/2,894.33 = 1,350.47/x
  3. Step 3: Cross multiply
    2,097.83x = 2,894.33 × 1,350.47
  4. Step 4: Simplify right side
    2,097.83x = 3,908,716.45
  5. Step 5: Solve for x
    x = 3,908,716.45/2,097.83
  6. Step 6: Final answer
    x = 1,863.22

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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.