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Finding the Fourth Proportional to 1,990.36, 2,987.70 and 1,442.80

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Solution

The fourth proportional to 1,990.36, 2,987.70 and 1,442.80 is: 2,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.36 : 2,987.70 = 1,442.80 : x
  2. Step 2: Convert to fraction form
    1,990.36/2,987.70 = 1,442.80/x
  3. Step 3: Cross multiply
    1,990.36x = 2,987.70 × 1,442.80
  4. Step 4: Simplify right side
    1,990.36x = 4,310,653.56
  5. Step 5: Solve for x
    x = 4,310,653.56/1,990.36
  6. Step 6: Final answer
    x = 2,165.77

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