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Finding the Fourth Proportional to 1,975.25, 2,725.80 and 1,078.96

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Solution

The fourth proportional to 1,975.25, 2,725.80 and 1,078.96 is: 1,488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.25 : 2,725.80 = 1,078.96 : x
  2. Step 2: Convert to fraction form
    1,975.25/2,725.80 = 1,078.96/x
  3. Step 3: Cross multiply
    1,975.25x = 2,725.80 × 1,078.96
  4. Step 4: Simplify right side
    1,975.25x = 2,941,010.14
  5. Step 5: Solve for x
    x = 2,941,010.14/1,975.25
  6. Step 6: Final answer
    x = 1,488.93

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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.