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Finding the Fourth Proportional to 2,690.46, 3,711.15 and 1,945.26

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Solution

The fourth proportional to 2,690.46, 3,711.15 and 1,945.26 is: 2,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.46 : 3,711.15 = 1,945.26 : x
  2. Step 2: Convert to fraction form
    2,690.46/3,711.15 = 1,945.26/x
  3. Step 3: Cross multiply
    2,690.46x = 3,711.15 × 1,945.26
  4. Step 4: Simplify right side
    2,690.46x = 7,219,151.65
  5. Step 5: Solve for x
    x = 7,219,151.65/2,690.46
  6. Step 6: Final answer
    x = 2,683.24

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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.