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Finding the Fourth Proportional to 1,676.86, 2,312.22 and 1,453.84

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Solution

The fourth proportional to 1,676.86, 2,312.22 and 1,453.84 is: 2,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.86 : 2,312.22 = 1,453.84 : x
  2. Step 2: Convert to fraction form
    1,676.86/2,312.22 = 1,453.84/x
  3. Step 3: Cross multiply
    1,676.86x = 2,312.22 × 1,453.84
  4. Step 4: Simplify right side
    1,676.86x = 3,361,597.92
  5. Step 5: Solve for x
    x = 3,361,597.92/1,676.86
  6. Step 6: Final answer
    x = 2,004.70

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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.