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Finding the Fourth Proportional to 2,314.46, 3,193.74 and 1,319.64

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Solution

The fourth proportional to 2,314.46, 3,193.74 and 1,319.64 is: 1,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.46 : 3,193.74 = 1,319.64 : x
  2. Step 2: Convert to fraction form
    2,314.46/3,193.74 = 1,319.64/x
  3. Step 3: Cross multiply
    2,314.46x = 3,193.74 × 1,319.64
  4. Step 4: Simplify right side
    2,314.46x = 4,214,587.05
  5. Step 5: Solve for x
    x = 4,214,587.05/2,314.46
  6. Step 6: Final answer
    x = 1,820.98

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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.