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Finding the Fourth Proportional to 2,419.85, 3,628.60 and 1,014.01

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Solution

The fourth proportional to 2,419.85, 3,628.60 and 1,014.01 is: 1,520.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.85 : 3,628.60 = 1,014.01 : x
  2. Step 2: Convert to fraction form
    2,419.85/3,628.60 = 1,014.01/x
  3. Step 3: Cross multiply
    2,419.85x = 3,628.60 × 1,014.01
  4. Step 4: Simplify right side
    2,419.85x = 3,679,425.08
  5. Step 5: Solve for x
    x = 3,679,425.08/2,419.85
  6. Step 6: Final answer
    x = 1,520.52

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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.