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Finding the Fourth Proportional to 4,651.24, 6,982.62 and 2,055.40

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Solution

The fourth proportional to 4,651.24, 6,982.62 and 2,055.40 is: 3,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.24 : 6,982.62 = 2,055.40 : x
  2. Step 2: Convert to fraction form
    4,651.24/6,982.62 = 2,055.40/x
  3. Step 3: Cross multiply
    4,651.24x = 6,982.62 × 2,055.40
  4. Step 4: Simplify right side
    4,651.24x = 14,352,077.15
  5. Step 5: Solve for x
    x = 14,352,077.15/4,651.24
  6. Step 6: Final answer
    x = 3,085.65

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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.