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Finding the Fourth Proportional to 1,972.28, 2,960.26 and 999.06

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Solution

The fourth proportional to 1,972.28, 2,960.26 and 999.06 is: 1,499.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.28 : 2,960.26 = 999.06 : x
  2. Step 2: Convert to fraction form
    1,972.28/2,960.26 = 999.06/x
  3. Step 3: Cross multiply
    1,972.28x = 2,960.26 × 999.06
  4. Step 4: Simplify right side
    1,972.28x = 2,957,477.36
  5. Step 5: Solve for x
    x = 2,957,477.36/1,972.28
  6. Step 6: Final answer
    x = 1,499.52

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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.