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Finding the Fourth Proportional to 1,897.25, 2,619.41 and 1,454.31

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Solution

The fourth proportional to 1,897.25, 2,619.41 and 1,454.31 is: 2,007.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.25 : 2,619.41 = 1,454.31 : x
  2. Step 2: Convert to fraction form
    1,897.25/2,619.41 = 1,454.31/x
  3. Step 3: Cross multiply
    1,897.25x = 2,619.41 × 1,454.31
  4. Step 4: Simplify right side
    1,897.25x = 3,809,426.89
  5. Step 5: Solve for x
    x = 3,809,426.89/1,897.25
  6. Step 6: Final answer
    x = 2,007.87

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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.