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Finding the Fourth Proportional to 2,689.46, 4,029.93 and 2,074.67

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Solution

The fourth proportional to 2,689.46, 4,029.93 and 2,074.67 is: 3,108.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.46 : 4,029.93 = 2,074.67 : x
  2. Step 2: Convert to fraction form
    2,689.46/4,029.93 = 2,074.67/x
  3. Step 3: Cross multiply
    2,689.46x = 4,029.93 × 2,074.67
  4. Step 4: Simplify right side
    2,689.46x = 8,360,769.84
  5. Step 5: Solve for x
    x = 8,360,769.84/2,689.46
  6. Step 6: Final answer
    x = 3,108.72

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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.