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Finding the Fourth Proportional to 1,331.04, 1,996.16 and 919.32

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Solution

The fourth proportional to 1,331.04, 1,996.16 and 919.32 is: 1,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.04 : 1,996.16 = 919.32 : x
  2. Step 2: Convert to fraction form
    1,331.04/1,996.16 = 919.32/x
  3. Step 3: Cross multiply
    1,331.04x = 1,996.16 × 919.32
  4. Step 4: Simplify right side
    1,331.04x = 1,835,109.81
  5. Step 5: Solve for x
    x = 1,835,109.81/1,331.04
  6. Step 6: Final answer
    x = 1,378.70

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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.