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Finding the Fourth Proportional to 1,294.07, 1,940.37 and 883.71

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Solution

The fourth proportional to 1,294.07, 1,940.37 and 883.71 is: 1,325.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.07 : 1,940.37 = 883.71 : x
  2. Step 2: Convert to fraction form
    1,294.07/1,940.37 = 883.71/x
  3. Step 3: Cross multiply
    1,294.07x = 1,940.37 × 883.71
  4. Step 4: Simplify right side
    1,294.07x = 1,714,724.37
  5. Step 5: Solve for x
    x = 1,714,724.37/1,294.07
  6. Step 6: Final answer
    x = 1,325.06

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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.