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Finding the Fourth Proportional to 2,209.70, 3,314.55 and 1,853.30

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Solution

The fourth proportional to 2,209.70, 3,314.55 and 1,853.30 is: 2,779.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.70 : 3,314.55 = 1,853.30 : x
  2. Step 2: Convert to fraction form
    2,209.70/3,314.55 = 1,853.30/x
  3. Step 3: Cross multiply
    2,209.70x = 3,314.55 × 1,853.30
  4. Step 4: Simplify right side
    2,209.70x = 6,142,855.52
  5. Step 5: Solve for x
    x = 6,142,855.52/2,209.70
  6. Step 6: Final answer
    x = 2,779.95

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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.