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Finding the Fourth Proportional to 2,314.64, 3,442.21 and 2,241.72

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Solution

The fourth proportional to 2,314.64, 3,442.21 and 2,241.72 is: 3,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.64 : 3,442.21 = 2,241.72 : x
  2. Step 2: Convert to fraction form
    2,314.64/3,442.21 = 2,241.72/x
  3. Step 3: Cross multiply
    2,314.64x = 3,442.21 × 2,241.72
  4. Step 4: Simplify right side
    2,314.64x = 7,716,471.00
  5. Step 5: Solve for x
    x = 7,716,471.00/2,314.64
  6. Step 6: Final answer
    x = 3,333.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.