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Finding the Fourth Proportional to 2,774.47, 4,162.26 and 1,044.31

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Solution

The fourth proportional to 2,774.47, 4,162.26 and 1,044.31 is: 1,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.47 : 4,162.26 = 1,044.31 : x
  2. Step 2: Convert to fraction form
    2,774.47/4,162.26 = 1,044.31/x
  3. Step 3: Cross multiply
    2,774.47x = 4,162.26 × 1,044.31
  4. Step 4: Simplify right side
    2,774.47x = 4,346,689.74
  5. Step 5: Solve for x
    x = 4,346,689.74/2,774.47
  6. Step 6: Final answer
    x = 1,566.67

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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.