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Finding the Fourth Proportional to 1,631.49, 2,443.32 and 936.06

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Solution

The fourth proportional to 1,631.49, 2,443.32 and 936.06 is: 1,401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.49 : 2,443.32 = 936.06 : x
  2. Step 2: Convert to fraction form
    1,631.49/2,443.32 = 936.06/x
  3. Step 3: Cross multiply
    1,631.49x = 2,443.32 × 936.06
  4. Step 4: Simplify right side
    1,631.49x = 2,287,094.12
  5. Step 5: Solve for x
    x = 2,287,094.12/1,631.49
  6. Step 6: Final answer
    x = 1,401.84

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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.