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Finding the Fourth Proportional to 3,314.56, 4,574 and 1,822.48

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Solution

The fourth proportional to 3,314.56, 4,574 and 1,822.48 is: 2,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.56 : 4,574 = 1,822.48 : x
  2. Step 2: Convert to fraction form
    3,314.56/4,574 = 1,822.48/x
  3. Step 3: Cross multiply
    3,314.56x = 4,574 × 1,822.48
  4. Step 4: Simplify right side
    3,314.56x = 8,336,023.52
  5. Step 5: Solve for x
    x = 8,336,023.52/3,314.56
  6. Step 6: Final answer
    x = 2,514.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.