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Finding the Fourth Proportional to 2,314.45, 3,474.93 and 1,341.64

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Solution

The fourth proportional to 2,314.45, 3,474.93 and 1,341.64 is: 2,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.45 : 3,474.93 = 1,341.64 : x
  2. Step 2: Convert to fraction form
    2,314.45/3,474.93 = 1,341.64/x
  3. Step 3: Cross multiply
    2,314.45x = 3,474.93 × 1,341.64
  4. Step 4: Simplify right side
    2,314.45x = 4,662,105.09
  5. Step 5: Solve for x
    x = 4,662,105.09/2,314.45
  6. Step 6: Final answer
    x = 2,014.35

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