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Finding the Fourth Proportional to 1,821.88, 2,512.86 and 1,191.40

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Solution

The fourth proportional to 1,821.88, 2,512.86 and 1,191.40 is: 1,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.88 : 2,512.86 = 1,191.40 : x
  2. Step 2: Convert to fraction form
    1,821.88/2,512.86 = 1,191.40/x
  3. Step 3: Cross multiply
    1,821.88x = 2,512.86 × 1,191.40
  4. Step 4: Simplify right side
    1,821.88x = 2,993,817.36
  5. Step 5: Solve for x
    x = 2,993,817.36/1,821.88
  6. Step 6: Final answer
    x = 1,643.26

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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.