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Finding the Fourth Proportional to 3,395.09, 4,684.96 and 1,882.50

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Solution

The fourth proportional to 3,395.09, 4,684.96 and 1,882.50 is: 2,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395.09 : 4,684.96 = 1,882.50 : x
  2. Step 2: Convert to fraction form
    3,395.09/4,684.96 = 1,882.50/x
  3. Step 3: Cross multiply
    3,395.09x = 4,684.96 × 1,882.50
  4. Step 4: Simplify right side
    3,395.09x = 8,819,445.40
  5. Step 5: Solve for x
    x = 8,819,445.40/3,395.09
  6. Step 6: Final answer
    x = 2,597.71

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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.