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Finding the Fourth Proportional to 1,338.94, 2,006.29 and 972.01

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Solution

The fourth proportional to 1,338.94, 2,006.29 and 972.01 is: 1,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.94 : 2,006.29 = 972.01 : x
  2. Step 2: Convert to fraction form
    1,338.94/2,006.29 = 972.01/x
  3. Step 3: Cross multiply
    1,338.94x = 2,006.29 × 972.01
  4. Step 4: Simplify right side
    1,338.94x = 1,950,133.94
  5. Step 5: Solve for x
    x = 1,950,133.94/1,338.94
  6. Step 6: Final answer
    x = 1,456.48

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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.