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Finding the Fourth Proportional to 2,408.53, 3,318.95 and 2,030.45

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Solution

The fourth proportional to 2,408.53, 3,318.95 and 2,030.45 is: 2,797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.53 : 3,318.95 = 2,030.45 : x
  2. Step 2: Convert to fraction form
    2,408.53/3,318.95 = 2,030.45/x
  3. Step 3: Cross multiply
    2,408.53x = 3,318.95 × 2,030.45
  4. Step 4: Simplify right side
    2,408.53x = 6,738,962.03
  5. Step 5: Solve for x
    x = 6,738,962.03/2,408.53
  6. Step 6: Final answer
    x = 2,797.96

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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.