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Finding the Fourth Proportional to 3,314.01, 4,573.16 and 1,821.69

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Solution

The fourth proportional to 3,314.01, 4,573.16 and 1,821.69 is: 2,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.01 : 4,573.16 = 1,821.69 : x
  2. Step 2: Convert to fraction form
    3,314.01/4,573.16 = 1,821.69/x
  3. Step 3: Cross multiply
    3,314.01x = 4,573.16 × 1,821.69
  4. Step 4: Simplify right side
    3,314.01x = 8,330,877.56
  5. Step 5: Solve for x
    x = 8,330,877.56/3,314.01
  6. Step 6: Final answer
    x = 2,513.83

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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.