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Finding the Fourth Proportional to 2,325.71, 3,488.07 and 1,093.70

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Solution

The fourth proportional to 2,325.71, 3,488.07 and 1,093.70 is: 1,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.71 : 3,488.07 = 1,093.70 : x
  2. Step 2: Convert to fraction form
    2,325.71/3,488.07 = 1,093.70/x
  3. Step 3: Cross multiply
    2,325.71x = 3,488.07 × 1,093.70
  4. Step 4: Simplify right side
    2,325.71x = 3,814,902.16
  5. Step 5: Solve for x
    x = 3,814,902.16/2,325.71
  6. Step 6: Final answer
    x = 1,640.32

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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.