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Finding the Fourth Proportional to 2,184.61, 2,998.58 and 1,997.77

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Solution

The fourth proportional to 2,184.61, 2,998.58 and 1,997.77 is: 2,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.61 : 2,998.58 = 1,997.77 : x
  2. Step 2: Convert to fraction form
    2,184.61/2,998.58 = 1,997.77/x
  3. Step 3: Cross multiply
    2,184.61x = 2,998.58 × 1,997.77
  4. Step 4: Simplify right side
    2,184.61x = 5,990,486.95
  5. Step 5: Solve for x
    x = 5,990,486.95/2,184.61
  6. Step 6: Final answer
    x = 2,742.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.