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Finding the Fourth Proportional to 1,993.80, 2,990.70 and 1,370.10

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Solution

The fourth proportional to 1,993.80, 2,990.70 and 1,370.10 is: 2,055.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.80 : 2,990.70 = 1,370.10 : x
  2. Step 2: Convert to fraction form
    1,993.80/2,990.70 = 1,370.10/x
  3. Step 3: Cross multiply
    1,993.80x = 2,990.70 × 1,370.10
  4. Step 4: Simplify right side
    1,993.80x = 4,097,558.07
  5. Step 5: Solve for x
    x = 4,097,558.07/1,993.80
  6. Step 6: Final answer
    x = 2,055.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.