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Finding the Fourth Proportional to 3,185.18, 4,775.07 and 1,335.41

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Solution

The fourth proportional to 3,185.18, 4,775.07 and 1,335.41 is: 2,001.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.18 : 4,775.07 = 1,335.41 : x
  2. Step 2: Convert to fraction form
    3,185.18/4,775.07 = 1,335.41/x
  3. Step 3: Cross multiply
    3,185.18x = 4,775.07 × 1,335.41
  4. Step 4: Simplify right side
    3,185.18x = 6,376,676.23
  5. Step 5: Solve for x
    x = 6,376,676.23/3,185.18
  6. Step 6: Final answer
    x = 2,001.98

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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.