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Finding the Fourth Proportional to 2,715.68, 4,074.50 and 1,416.23

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Solution

The fourth proportional to 2,715.68, 4,074.50 and 1,416.23 is: 2,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.68 : 4,074.50 = 1,416.23 : x
  2. Step 2: Convert to fraction form
    2,715.68/4,074.50 = 1,416.23/x
  3. Step 3: Cross multiply
    2,715.68x = 4,074.50 × 1,416.23
  4. Step 4: Simplify right side
    2,715.68x = 5,770,450.50
  5. Step 5: Solve for x
    x = 5,770,450.50/2,715.68
  6. Step 6: Final answer
    x = 2,124.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.