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Finding the Fourth Proportional to 2,406.95, 3,314.19 and 2,052.08

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Solution

The fourth proportional to 2,406.95, 3,314.19 and 2,052.08 is: 2,825.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.95 : 3,314.19 = 2,052.08 : x
  2. Step 2: Convert to fraction form
    2,406.95/3,314.19 = 2,052.08/x
  3. Step 3: Cross multiply
    2,406.95x = 3,314.19 × 2,052.08
  4. Step 4: Simplify right side
    2,406.95x = 6,800,983.02
  5. Step 5: Solve for x
    x = 6,800,983.02/2,406.95
  6. Step 6: Final answer
    x = 2,825.56

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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.