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Finding the Fourth Proportional to 4,205.44, 6,308.80 and 1,897.60

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Solution

The fourth proportional to 4,205.44, 6,308.80 and 1,897.60 is: 2,846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.44 : 6,308.80 = 1,897.60 : x
  2. Step 2: Convert to fraction form
    4,205.44/6,308.80 = 1,897.60/x
  3. Step 3: Cross multiply
    4,205.44x = 6,308.80 × 1,897.60
  4. Step 4: Simplify right side
    4,205.44x = 11,971,578.88
  5. Step 5: Solve for x
    x = 11,971,578.88/4,205.44
  6. Step 6: Final answer
    x = 2,846.69

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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.