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Finding the Fourth Proportional to 3,316.50, 4,971.06 and 1,674.54

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Solution

The fourth proportional to 3,316.50, 4,971.06 and 1,674.54 is: 2,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.50 : 4,971.06 = 1,674.54 : x
  2. Step 2: Convert to fraction form
    3,316.50/4,971.06 = 1,674.54/x
  3. Step 3: Cross multiply
    3,316.50x = 4,971.06 × 1,674.54
  4. Step 4: Simplify right side
    3,316.50x = 8,324,238.81
  5. Step 5: Solve for x
    x = 8,324,238.81/3,316.50
  6. Step 6: Final answer
    x = 2,509.95

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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.