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Finding the Fourth Proportional to 2,097.96, 2,894.34 and 1,268.52

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Solution

The fourth proportional to 2,097.96, 2,894.34 and 1,268.52 is: 1,750.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.96 : 2,894.34 = 1,268.52 : x
  2. Step 2: Convert to fraction form
    2,097.96/2,894.34 = 1,268.52/x
  3. Step 3: Cross multiply
    2,097.96x = 2,894.34 × 1,268.52
  4. Step 4: Simplify right side
    2,097.96x = 3,671,528.18
  5. Step 5: Solve for x
    x = 3,671,528.18/2,097.96
  6. Step 6: Final answer
    x = 1,750.05

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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.