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Finding the Fourth Proportional to 1,881.70, 2,597.06 and 1,096.21

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Solution

The fourth proportional to 1,881.70, 2,597.06 and 1,096.21 is: 1,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.70 : 2,597.06 = 1,096.21 : x
  2. Step 2: Convert to fraction form
    1,881.70/2,597.06 = 1,096.21/x
  3. Step 3: Cross multiply
    1,881.70x = 2,597.06 × 1,096.21
  4. Step 4: Simplify right side
    1,881.70x = 2,846,923.14
  5. Step 5: Solve for x
    x = 2,846,923.14/1,881.70
  6. Step 6: Final answer
    x = 1,512.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.