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Finding the Fourth Proportional to 2,097.04, 2,893.02 and 1,309.72

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Solution

The fourth proportional to 2,097.04, 2,893.02 and 1,309.72 is: 1,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.04 : 2,893.02 = 1,309.72 : x
  2. Step 2: Convert to fraction form
    2,097.04/2,893.02 = 1,309.72/x
  3. Step 3: Cross multiply
    2,097.04x = 2,893.02 × 1,309.72
  4. Step 4: Simplify right side
    2,097.04x = 3,789,046.15
  5. Step 5: Solve for x
    x = 3,789,046.15/2,097.04
  6. Step 6: Final answer
    x = 1,806.85

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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.