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Finding the Fourth Proportional to 1,380.70, 2,071 and 340.66

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Solution

The fourth proportional to 1,380.70, 2,071 and 340.66 is: 510.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.70 : 2,071 = 340.66 : x
  2. Step 2: Convert to fraction form
    1,380.70/2,071 = 340.66/x
  3. Step 3: Cross multiply
    1,380.70x = 2,071 × 340.66
  4. Step 4: Simplify right side
    1,380.70x = 705,496.51
  5. Step 5: Solve for x
    x = 705,496.51/1,380.70
  6. Step 6: Final answer
    x = 510.97

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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.