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Finding the Fourth Proportional to 1,975.73, 2,725.92 and 1,643.63

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Solution

The fourth proportional to 1,975.73, 2,725.92 and 1,643.63 is: 2,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.73 : 2,725.92 = 1,643.63 : x
  2. Step 2: Convert to fraction form
    1,975.73/2,725.92 = 1,643.63/x
  3. Step 3: Cross multiply
    1,975.73x = 2,725.92 × 1,643.63
  4. Step 4: Simplify right side
    1,975.73x = 4,480,390.26
  5. Step 5: Solve for x
    x = 4,480,390.26/1,975.73
  6. Step 6: Final answer
    x = 2,267.72

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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.