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Finding the Fourth Proportional to 2,313.94, 3,471.02 and 670.66

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Solution

The fourth proportional to 2,313.94, 3,471.02 and 670.66 is: 1,006.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.94 : 3,471.02 = 670.66 : x
  2. Step 2: Convert to fraction form
    2,313.94/3,471.02 = 670.66/x
  3. Step 3: Cross multiply
    2,313.94x = 3,471.02 × 670.66
  4. Step 4: Simplify right side
    2,313.94x = 2,327,874.27
  5. Step 5: Solve for x
    x = 2,327,874.27/2,313.94
  6. Step 6: Final answer
    x = 1,006.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.