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Finding the Fourth Proportional to 2,245.82, 3,366.93 and 1,506.20

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Solution

The fourth proportional to 2,245.82, 3,366.93 and 1,506.20 is: 2,258.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.82 : 3,366.93 = 1,506.20 : x
  2. Step 2: Convert to fraction form
    2,245.82/3,366.93 = 1,506.20/x
  3. Step 3: Cross multiply
    2,245.82x = 3,366.93 × 1,506.20
  4. Step 4: Simplify right side
    2,245.82x = 5,071,269.97
  5. Step 5: Solve for x
    x = 5,071,269.97/2,245.82
  6. Step 6: Final answer
    x = 2,258.09

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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.