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Finding the Fourth Proportional to 1,443.51, 1,992.87 and 972.09

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Solution

The fourth proportional to 1,443.51, 1,992.87 and 972.09 is: 1,342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.51 : 1,992.87 = 972.09 : x
  2. Step 2: Convert to fraction form
    1,443.51/1,992.87 = 972.09/x
  3. Step 3: Cross multiply
    1,443.51x = 1,992.87 × 972.09
  4. Step 4: Simplify right side
    1,443.51x = 1,937,249.00
  5. Step 5: Solve for x
    x = 1,937,249.00/1,443.51
  6. Step 6: Final answer
    x = 1,342.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.