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Finding the Fourth Proportional to 4,289.80, 6,435.06 and 1,169.80

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Solution

The fourth proportional to 4,289.80, 6,435.06 and 1,169.80 is: 1,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.80 : 6,435.06 = 1,169.80 : x
  2. Step 2: Convert to fraction form
    4,289.80/6,435.06 = 1,169.80/x
  3. Step 3: Cross multiply
    4,289.80x = 6,435.06 × 1,169.80
  4. Step 4: Simplify right side
    4,289.80x = 7,527,733.19
  5. Step 5: Solve for x
    x = 7,527,733.19/4,289.80
  6. Step 6: Final answer
    x = 1,754.80

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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.