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Finding the Fourth Proportional to 2,224.97, 3,070.37 and 1,467.83

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Solution

The fourth proportional to 2,224.97, 3,070.37 and 1,467.83 is: 2,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.97 : 3,070.37 = 1,467.83 : x
  2. Step 2: Convert to fraction form
    2,224.97/3,070.37 = 1,467.83/x
  3. Step 3: Cross multiply
    2,224.97x = 3,070.37 × 1,467.83
  4. Step 4: Simplify right side
    2,224.97x = 4,506,758.51
  5. Step 5: Solve for x
    x = 4,506,758.51/2,224.97
  6. Step 6: Final answer
    x = 2,025.54

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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.