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Finding the Fourth Proportional to 2,224.75, 3,070.16 and 1,340.59

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Solution

The fourth proportional to 2,224.75, 3,070.16 and 1,340.59 is: 1,850.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.75 : 3,070.16 = 1,340.59 : x
  2. Step 2: Convert to fraction form
    2,224.75/3,070.16 = 1,340.59/x
  3. Step 3: Cross multiply
    2,224.75x = 3,070.16 × 1,340.59
  4. Step 4: Simplify right side
    2,224.75x = 4,115,825.79
  5. Step 5: Solve for x
    x = 4,115,825.79/2,224.75
  6. Step 6: Final answer
    x = 1,850.02

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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.