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Finding the Fourth Proportional to 4,969.19, 7,453.80 and 1,682.30

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Solution

The fourth proportional to 4,969.19, 7,453.80 and 1,682.30 is: 2,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.19 : 7,453.80 = 1,682.30 : x
  2. Step 2: Convert to fraction form
    4,969.19/7,453.80 = 1,682.30/x
  3. Step 3: Cross multiply
    4,969.19x = 7,453.80 × 1,682.30
  4. Step 4: Simplify right side
    4,969.19x = 12,539,490.47
  5. Step 5: Solve for x
    x = 12,539,490.47/4,969.19
  6. Step 6: Final answer
    x = 2,523.45

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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.