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Finding the Fourth Proportional to 1,975.25, 2,725.82 and 1,409.13

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Solution

The fourth proportional to 1,975.25, 2,725.82 and 1,409.13 is: 1,944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.25 : 2,725.82 = 1,409.13 : x
  2. Step 2: Convert to fraction form
    1,975.25/2,725.82 = 1,409.13/x
  3. Step 3: Cross multiply
    1,975.25x = 2,725.82 × 1,409.13
  4. Step 4: Simplify right side
    1,975.25x = 3,841,032.98
  5. Step 5: Solve for x
    x = 3,841,032.98/1,975.25
  6. Step 6: Final answer
    x = 1,944.58

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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.