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Finding the Fourth Proportional to 1,380.44, 2,070.66 and 340.44

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Solution

The fourth proportional to 1,380.44, 2,070.66 and 340.44 is: 510.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.44 : 2,070.66 = 340.44 : x
  2. Step 2: Convert to fraction form
    1,380.44/2,070.66 = 340.44/x
  3. Step 3: Cross multiply
    1,380.44x = 2,070.66 × 340.44
  4. Step 4: Simplify right side
    1,380.44x = 704,935.49
  5. Step 5: Solve for x
    x = 704,935.49/1,380.44
  6. Step 6: Final answer
    x = 510.66

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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.