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Finding the Fourth Proportional to 2,097.32, 3,146.58 and 865.71

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Solution

The fourth proportional to 2,097.32, 3,146.58 and 865.71 is: 1,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.32 : 3,146.58 = 865.71 : x
  2. Step 2: Convert to fraction form
    2,097.32/3,146.58 = 865.71/x
  3. Step 3: Cross multiply
    2,097.32x = 3,146.58 × 865.71
  4. Step 4: Simplify right side
    2,097.32x = 2,724,025.77
  5. Step 5: Solve for x
    x = 2,724,025.77/2,097.32
  6. Step 6: Final answer
    x = 1,298.82

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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.