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Finding the Fourth Proportional to 3,374.91, 4,657.41 and 1,882.80

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Solution

The fourth proportional to 3,374.91, 4,657.41 and 1,882.80 is: 2,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.91 : 4,657.41 = 1,882.80 : x
  2. Step 2: Convert to fraction form
    3,374.91/4,657.41 = 1,882.80/x
  3. Step 3: Cross multiply
    3,374.91x = 4,657.41 × 1,882.80
  4. Step 4: Simplify right side
    3,374.91x = 8,768,971.55
  5. Step 5: Solve for x
    x = 8,768,971.55/3,374.91
  6. Step 6: Final answer
    x = 2,598.28

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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.