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Finding the Fourth Proportional to 1,491.86, 2,241.56 and 944.30

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Solution

The fourth proportional to 1,491.86, 2,241.56 and 944.30 is: 1,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.86 : 2,241.56 = 944.30 : x
  2. Step 2: Convert to fraction form
    1,491.86/2,241.56 = 944.30/x
  3. Step 3: Cross multiply
    1,491.86x = 2,241.56 × 944.30
  4. Step 4: Simplify right side
    1,491.86x = 2,116,696.26
  5. Step 5: Solve for x
    x = 2,116,696.26/1,491.86
  6. Step 6: Final answer
    x = 1,418.84

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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.