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Finding the Fourth Proportional to 6,980.16, 10,468.61 and 2,048.47

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Solution

The fourth proportional to 6,980.16, 10,468.61 and 2,048.47 is: 3,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.16 : 10,468.61 = 2,048.47 : x
  2. Step 2: Convert to fraction form
    6,980.16/10,468.61 = 2,048.47/x
  3. Step 3: Cross multiply
    6,980.16x = 10,468.61 × 2,048.47
  4. Step 4: Simplify right side
    6,980.16x = 21,444,633.53
  5. Step 5: Solve for x
    x = 21,444,633.53/6,980.16
  6. Step 6: Final answer
    x = 3,072.23

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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.