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Finding the Fourth Proportional to 2,044.22, 3,068.25 and 1,071

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Solution

The fourth proportional to 2,044.22, 3,068.25 and 1,071 is: 1,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.22 : 3,068.25 = 1,071 : x
  2. Step 2: Convert to fraction form
    2,044.22/3,068.25 = 1,071/x
  3. Step 3: Cross multiply
    2,044.22x = 3,068.25 × 1,071
  4. Step 4: Simplify right side
    2,044.22x = 3,286,095.75
  5. Step 5: Solve for x
    x = 3,286,095.75/2,044.22
  6. Step 6: Final answer
    x = 1,607.51

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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.