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Finding the Fourth Proportional to 3,374.67, 4,655.94 and 1,882.32

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Solution

The fourth proportional to 3,374.67, 4,655.94 and 1,882.32 is: 2,596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.67 : 4,655.94 = 1,882.32 : x
  2. Step 2: Convert to fraction form
    3,374.67/4,655.94 = 1,882.32/x
  3. Step 3: Cross multiply
    3,374.67x = 4,655.94 × 1,882.32
  4. Step 4: Simplify right side
    3,374.67x = 8,763,968.98
  5. Step 5: Solve for x
    x = 8,763,968.98/3,374.67
  6. Step 6: Final answer
    x = 2,596.99

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