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Finding the Fourth Proportional to 2,157.57, 2,976.75 and 1,412.37

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Solution

The fourth proportional to 2,157.57, 2,976.75 and 1,412.37 is: 1,948.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.57 : 2,976.75 = 1,412.37 : x
  2. Step 2: Convert to fraction form
    2,157.57/2,976.75 = 1,412.37/x
  3. Step 3: Cross multiply
    2,157.57x = 2,976.75 × 1,412.37
  4. Step 4: Simplify right side
    2,157.57x = 4,204,272.40
  5. Step 5: Solve for x
    x = 4,204,272.40/2,157.57
  6. Step 6: Final answer
    x = 1,948.61

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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.