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Finding the Fourth Proportional to 1,994.57, 2,970.78 and 1,890.48

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Solution

The fourth proportional to 1,994.57, 2,970.78 and 1,890.48 is: 2,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.57 : 2,970.78 = 1,890.48 : x
  2. Step 2: Convert to fraction form
    1,994.57/2,970.78 = 1,890.48/x
  3. Step 3: Cross multiply
    1,994.57x = 2,970.78 × 1,890.48
  4. Step 4: Simplify right side
    1,994.57x = 5,616,190.72
  5. Step 5: Solve for x
    x = 5,616,190.72/1,994.57
  6. Step 6: Final answer
    x = 2,815.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.