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Finding the Fourth Proportional to 2,450.79, 3,380.00 and 1,506.60

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Solution

The fourth proportional to 2,450.79, 3,380.00 and 1,506.60 is: 2,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.79 : 3,380.00 = 1,506.60 : x
  2. Step 2: Convert to fraction form
    2,450.79/3,380.00 = 1,506.60/x
  3. Step 3: Cross multiply
    2,450.79x = 3,380.00 × 1,506.60
  4. Step 4: Simplify right side
    2,450.79x = 5,092,300.47
  5. Step 5: Solve for x
    x = 5,092,300.47/2,450.79
  6. Step 6: Final answer
    x = 2,077.82

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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.