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Finding the Fourth Proportional to 2,256.46, 3,384.79 and 795.76

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Solution

The fourth proportional to 2,256.46, 3,384.79 and 795.76 is: 1,193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.46 : 3,384.79 = 795.76 : x
  2. Step 2: Convert to fraction form
    2,256.46/3,384.79 = 795.76/x
  3. Step 3: Cross multiply
    2,256.46x = 3,384.79 × 795.76
  4. Step 4: Simplify right side
    2,256.46x = 2,693,470.04
  5. Step 5: Solve for x
    x = 2,693,470.04/2,256.46
  6. Step 6: Final answer
    x = 1,193.67

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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.