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Finding the Fourth Proportional to 2,410.81, 3,314.12 and 2,073.47

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Solution

The fourth proportional to 2,410.81, 3,314.12 and 2,073.47 is: 2,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.81 : 3,314.12 = 2,073.47 : x
  2. Step 2: Convert to fraction form
    2,410.81/3,314.12 = 2,073.47/x
  3. Step 3: Cross multiply
    2,410.81x = 3,314.12 × 2,073.47
  4. Step 4: Simplify right side
    2,410.81x = 6,871,728.40
  5. Step 5: Solve for x
    x = 6,871,728.40/2,410.81
  6. Step 6: Final answer
    x = 2,850.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.