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Finding the Fourth Proportional to 1,820.91, 2,509.75 and 1,222.32

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Solution

The fourth proportional to 1,820.91, 2,509.75 and 1,222.32 is: 1,684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.91 : 2,509.75 = 1,222.32 : x
  2. Step 2: Convert to fraction form
    1,820.91/2,509.75 = 1,222.32/x
  3. Step 3: Cross multiply
    1,820.91x = 2,509.75 × 1,222.32
  4. Step 4: Simplify right side
    1,820.91x = 3,067,717.62
  5. Step 5: Solve for x
    x = 3,067,717.62/1,820.91
  6. Step 6: Final answer
    x = 1,684.72

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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.