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Finding the Fourth Proportional to 2,828.70, 3,903.78 and 1,586.70

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Solution

The fourth proportional to 2,828.70, 3,903.78 and 1,586.70 is: 2,189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.70 : 3,903.78 = 1,586.70 : x
  2. Step 2: Convert to fraction form
    2,828.70/3,903.78 = 1,586.70/x
  3. Step 3: Cross multiply
    2,828.70x = 3,903.78 × 1,586.70
  4. Step 4: Simplify right side
    2,828.70x = 6,194,127.73
  5. Step 5: Solve for x
    x = 6,194,127.73/2,828.70
  6. Step 6: Final answer
    x = 2,189.74

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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.