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Finding the Fourth Proportional to 4,653.69, 6,980.61 and 1,366.86

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Solution

The fourth proportional to 4,653.69, 6,980.61 and 1,366.86 is: 2,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.69 : 6,980.61 = 1,366.86 : x
  2. Step 2: Convert to fraction form
    4,653.69/6,980.61 = 1,366.86/x
  3. Step 3: Cross multiply
    4,653.69x = 6,980.61 × 1,366.86
  4. Step 4: Simplify right side
    4,653.69x = 9,541,516.58
  5. Step 5: Solve for x
    x = 9,541,516.58/4,653.69
  6. Step 6: Final answer
    x = 2,050.31

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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.