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Finding the Fourth Proportional to 2,292.85, 3,440.64 and 832.12

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Solution

The fourth proportional to 2,292.85, 3,440.64 and 832.12 is: 1,248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.85 : 3,440.64 = 832.12 : x
  2. Step 2: Convert to fraction form
    2,292.85/3,440.64 = 832.12/x
  3. Step 3: Cross multiply
    2,292.85x = 3,440.64 × 832.12
  4. Step 4: Simplify right side
    2,292.85x = 2,863,019.88
  5. Step 5: Solve for x
    x = 2,863,019.88/2,292.85
  6. Step 6: Final answer
    x = 1,248.67

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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.