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Finding the Fourth Proportional to 2,155.78, 2,975.25 and 1,224.46

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Solution

The fourth proportional to 2,155.78, 2,975.25 and 1,224.46 is: 1,689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.78 : 2,975.25 = 1,224.46 : x
  2. Step 2: Convert to fraction form
    2,155.78/2,975.25 = 1,224.46/x
  3. Step 3: Cross multiply
    2,155.78x = 2,975.25 × 1,224.46
  4. Step 4: Simplify right side
    2,155.78x = 3,643,074.62
  5. Step 5: Solve for x
    x = 3,643,074.62/2,155.78
  6. Step 6: Final answer
    x = 1,689.91

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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.