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Finding the Fourth Proportional to 1,975.53, 2,725.02 and 1,178.33

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Solution

The fourth proportional to 1,975.53, 2,725.02 and 1,178.33 is: 1,625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.53 : 2,725.02 = 1,178.33 : x
  2. Step 2: Convert to fraction form
    1,975.53/2,725.02 = 1,178.33/x
  3. Step 3: Cross multiply
    1,975.53x = 2,725.02 × 1,178.33
  4. Step 4: Simplify right side
    1,975.53x = 3,210,959.19
  5. Step 5: Solve for x
    x = 3,210,959.19/1,975.53
  6. Step 6: Final answer
    x = 1,625.37

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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.