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Finding the Fourth Proportional to 1,380.83, 2,071.24 and 340.85

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Solution

The fourth proportional to 1,380.83, 2,071.24 and 340.85 is: 511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.83 : 2,071.24 = 340.85 : x
  2. Step 2: Convert to fraction form
    1,380.83/2,071.24 = 340.85/x
  3. Step 3: Cross multiply
    1,380.83x = 2,071.24 × 340.85
  4. Step 4: Simplify right side
    1,380.83x = 705,988.40
  5. Step 5: Solve for x
    x = 705,988.40/1,380.83
  6. Step 6: Final answer
    x = 511.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.