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Finding the Fourth Proportional to 2,097.07, 3,143.68 and 864.25

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Solution

The fourth proportional to 2,097.07, 3,143.68 and 864.25 is: 1,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.07 : 3,143.68 = 864.25 : x
  2. Step 2: Convert to fraction form
    2,097.07/3,143.68 = 864.25/x
  3. Step 3: Cross multiply
    2,097.07x = 3,143.68 × 864.25
  4. Step 4: Simplify right side
    2,097.07x = 2,716,925.44
  5. Step 5: Solve for x
    x = 2,716,925.44/2,097.07
  6. Step 6: Final answer
    x = 1,295.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.