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Finding the Fourth Proportional to 2,673.63, 4,010.99 and 824.67

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Solution

The fourth proportional to 2,673.63, 4,010.99 and 824.67 is: 1,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.63 : 4,010.99 = 824.67 : x
  2. Step 2: Convert to fraction form
    2,673.63/4,010.99 = 824.67/x
  3. Step 3: Cross multiply
    2,673.63x = 4,010.99 × 824.67
  4. Step 4: Simplify right side
    2,673.63x = 3,307,739.00
  5. Step 5: Solve for x
    x = 3,307,739.00/2,673.63
  6. Step 6: Final answer
    x = 1,237.17

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1.5x scale

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.