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Finding the Fourth Proportional to 2,453.20, 3,679.80 and 2,428.90

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Solution

The fourth proportional to 2,453.20, 3,679.80 and 2,428.90 is: 3,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.20 : 3,679.80 = 2,428.90 : x
  2. Step 2: Convert to fraction form
    2,453.20/3,679.80 = 2,428.90/x
  3. Step 3: Cross multiply
    2,453.20x = 3,679.80 × 2,428.90
  4. Step 4: Simplify right side
    2,453.20x = 8,937,866.22
  5. Step 5: Solve for x
    x = 8,937,866.22/2,453.20
  6. Step 6: Final answer
    x = 3,643.35

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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.