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Finding the Fourth Proportional to 3,319.14, 4,968.18 and 1,853.85

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Solution

The fourth proportional to 3,319.14, 4,968.18 and 1,853.85 is: 2,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.14 : 4,968.18 = 1,853.85 : x
  2. Step 2: Convert to fraction form
    3,319.14/4,968.18 = 1,853.85/x
  3. Step 3: Cross multiply
    3,319.14x = 4,968.18 × 1,853.85
  4. Step 4: Simplify right side
    3,319.14x = 9,210,260.49
  5. Step 5: Solve for x
    x = 9,210,260.49/3,319.14
  6. Step 6: Final answer
    x = 2,774.89

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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.