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Finding the Fourth Proportional to 3,065.19, 4,230 and 1,738.67

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Solution

The fourth proportional to 3,065.19, 4,230 and 1,738.67 is: 2,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.19 : 4,230 = 1,738.67 : x
  2. Step 2: Convert to fraction form
    3,065.19/4,230 = 1,738.67/x
  3. Step 3: Cross multiply
    3,065.19x = 4,230 × 1,738.67
  4. Step 4: Simplify right side
    3,065.19x = 7,354,552.95
  5. Step 5: Solve for x
    x = 7,354,552.95/3,065.19
  6. Step 6: Final answer
    x = 2,399.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.