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Finding the Fourth Proportional to 2,297.43, 3,437.91 and 1,990.32

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Solution

The fourth proportional to 2,297.43, 3,437.91 and 1,990.32 is: 2,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.43 : 3,437.91 = 1,990.32 : x
  2. Step 2: Convert to fraction form
    2,297.43/3,437.91 = 1,990.32/x
  3. Step 3: Cross multiply
    2,297.43x = 3,437.91 × 1,990.32
  4. Step 4: Simplify right side
    2,297.43x = 6,842,541.03
  5. Step 5: Solve for x
    x = 6,842,541.03/2,297.43
  6. Step 6: Final answer
    x = 2,978.35

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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.