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Finding the Fourth Proportional to 2,705.65, 4,052.33 and 2,116.99

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Solution

The fourth proportional to 2,705.65, 4,052.33 and 2,116.99 is: 3,170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.65 : 4,052.33 = 2,116.99 : x
  2. Step 2: Convert to fraction form
    2,705.65/4,052.33 = 2,116.99/x
  3. Step 3: Cross multiply
    2,705.65x = 4,052.33 × 2,116.99
  4. Step 4: Simplify right side
    2,705.65x = 8,578,721.71
  5. Step 5: Solve for x
    x = 8,578,721.71/2,705.65
  6. Step 6: Final answer
    x = 3,170.67

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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.