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Finding the Fourth Proportional to 2,314.00, 3,193.18 and 1,319.39

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Solution

The fourth proportional to 2,314.00, 3,193.18 and 1,319.39 is: 1,820.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.00 : 3,193.18 = 1,319.39 : x
  2. Step 2: Convert to fraction form
    2,314.00/3,193.18 = 1,319.39/x
  3. Step 3: Cross multiply
    2,314.00x = 3,193.18 × 1,319.39
  4. Step 4: Simplify right side
    2,314.00x = 4,213,030.50
  5. Step 5: Solve for x
    x = 4,213,030.50/2,314.00
  6. Step 6: Final answer
    x = 1,820.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.