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Finding the Fourth Proportional to 1,763.92, 2,644.08 and 1,214.32

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Solution

The fourth proportional to 1,763.92, 2,644.08 and 1,214.32 is: 1,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.92 : 2,644.08 = 1,214.32 : x
  2. Step 2: Convert to fraction form
    1,763.92/2,644.08 = 1,214.32/x
  3. Step 3: Cross multiply
    1,763.92x = 2,644.08 × 1,214.32
  4. Step 4: Simplify right side
    1,763.92x = 3,210,759.23
  5. Step 5: Solve for x
    x = 3,210,759.23/1,763.92
  6. Step 6: Final answer
    x = 1,820.24

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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.