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Finding the Fourth Proportional to 2,625.79, 3,623.57 and 1,446.86

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Solution

The fourth proportional to 2,625.79, 3,623.57 and 1,446.86 is: 1,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.79 : 3,623.57 = 1,446.86 : x
  2. Step 2: Convert to fraction form
    2,625.79/3,623.57 = 1,446.86/x
  3. Step 3: Cross multiply
    2,625.79x = 3,623.57 × 1,446.86
  4. Step 4: Simplify right side
    2,625.79x = 5,242,779.76
  5. Step 5: Solve for x
    x = 5,242,779.76/2,625.79
  6. Step 6: Final answer
    x = 1,996.65

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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.