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Finding the Fourth Proportional to 2,643, 3,977.76 and 1,988.27

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Solution

The fourth proportional to 2,643, 3,977.76 and 1,988.27 is: 2,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643 : 3,977.76 = 1,988.27 : x
  2. Step 2: Convert to fraction form
    2,643/3,977.76 = 1,988.27/x
  3. Step 3: Cross multiply
    2,643x = 3,977.76 × 1,988.27
  4. Step 4: Simplify right side
    2,643x = 7,908,860.88
  5. Step 5: Solve for x
    x = 7,908,860.88/2,643
  6. Step 6: Final answer
    x = 2,992.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.