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Finding the Fourth Proportional to 3,314.01, 4,570.74 and 2,054.36

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Solution

The fourth proportional to 3,314.01, 4,570.74 and 2,054.36 is: 2,833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.01 : 4,570.74 = 2,054.36 : x
  2. Step 2: Convert to fraction form
    3,314.01/4,570.74 = 2,054.36/x
  3. Step 3: Cross multiply
    3,314.01x = 4,570.74 × 2,054.36
  4. Step 4: Simplify right side
    3,314.01x = 9,389,912.30
  5. Step 5: Solve for x
    x = 9,389,912.30/3,314.01
  6. Step 6: Final answer
    x = 2,833.40

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Why These Related Problems?

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