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Finding the Fourth Proportional to 3,169.63, 4,752.83 and 1,689.69

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Solution

The fourth proportional to 3,169.63, 4,752.83 and 1,689.69 is: 2,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.63 : 4,752.83 = 1,689.69 : x
  2. Step 2: Convert to fraction form
    3,169.63/4,752.83 = 1,689.69/x
  3. Step 3: Cross multiply
    3,169.63x = 4,752.83 × 1,689.69
  4. Step 4: Simplify right side
    3,169.63x = 8,030,809.32
  5. Step 5: Solve for x
    x = 8,030,809.32/3,169.63
  6. Step 6: Final answer
    x = 2,533.67

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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.