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Finding the Fourth Proportional to 2,044.68, 3,068.28 and 890.16

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Solution

The fourth proportional to 2,044.68, 3,068.28 and 890.16 is: 1,335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.68 : 3,068.28 = 890.16 : x
  2. Step 2: Convert to fraction form
    2,044.68/3,068.28 = 890.16/x
  3. Step 3: Cross multiply
    2,044.68x = 3,068.28 × 890.16
  4. Step 4: Simplify right side
    2,044.68x = 2,731,260.12
  5. Step 5: Solve for x
    x = 2,731,260.12/2,044.68
  6. Step 6: Final answer
    x = 1,335.79

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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.