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Finding the Fourth Proportional to 1,992.23, 2,988.41 and 1,407.95

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Solution

The fourth proportional to 1,992.23, 2,988.41 and 1,407.95 is: 2,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.23 : 2,988.41 = 1,407.95 : x
  2. Step 2: Convert to fraction form
    1,992.23/2,988.41 = 1,407.95/x
  3. Step 3: Cross multiply
    1,992.23x = 2,988.41 × 1,407.95
  4. Step 4: Simplify right side
    1,992.23x = 4,207,509.88
  5. Step 5: Solve for x
    x = 4,207,509.88/1,992.23
  6. Step 6: Final answer
    x = 2,111.97

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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.