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Finding the Fourth Proportional to 1,992.86, 2,741.01 and 1,599.02

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Solution

The fourth proportional to 1,992.86, 2,741.01 and 1,599.02 is: 2,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.86 : 2,741.01 = 1,599.02 : x
  2. Step 2: Convert to fraction form
    1,992.86/2,741.01 = 1,599.02/x
  3. Step 3: Cross multiply
    1,992.86x = 2,741.01 × 1,599.02
  4. Step 4: Simplify right side
    1,992.86x = 4,382,929.81
  5. Step 5: Solve for x
    x = 4,382,929.81/1,992.86
  6. Step 6: Final answer
    x = 2,199.32

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Why These Related Problems?

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