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Finding the Fourth Proportional to 2,287.23, 3,430.84 and 825.78

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Solution

The fourth proportional to 2,287.23, 3,430.84 and 825.78 is: 1,238.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.23 : 3,430.84 = 825.78 : x
  2. Step 2: Convert to fraction form
    2,287.23/3,430.84 = 825.78/x
  3. Step 3: Cross multiply
    2,287.23x = 3,430.84 × 825.78
  4. Step 4: Simplify right side
    2,287.23x = 2,833,119.06
  5. Step 5: Solve for x
    x = 2,833,119.06/2,287.23
  6. Step 6: Final answer
    x = 1,238.67

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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.