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Finding the Fourth Proportional to 1,380.41, 1,905.47 and 914.81

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Solution

The fourth proportional to 1,380.41, 1,905.47 and 914.81 is: 1,262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.41 : 1,905.47 = 914.81 : x
  2. Step 2: Convert to fraction form
    1,380.41/1,905.47 = 914.81/x
  3. Step 3: Cross multiply
    1,380.41x = 1,905.47 × 914.81
  4. Step 4: Simplify right side
    1,380.41x = 1,743,143.01
  5. Step 5: Solve for x
    x = 1,743,143.01/1,380.41
  6. Step 6: Final answer
    x = 1,262.77

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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.