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Finding the Fourth Proportional to 1,380.74, 1,901.34 and 1,350.09

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Solution

The fourth proportional to 1,380.74, 1,901.34 and 1,350.09 is: 1,859.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.74 : 1,901.34 = 1,350.09 : x
  2. Step 2: Convert to fraction form
    1,380.74/1,901.34 = 1,350.09/x
  3. Step 3: Cross multiply
    1,380.74x = 1,901.34 × 1,350.09
  4. Step 4: Simplify right side
    1,380.74x = 2,566,980.12
  5. Step 5: Solve for x
    x = 2,566,980.12/1,380.74
  6. Step 6: Final answer
    x = 1,859.14

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