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Finding the Fourth Proportional to 2,797.16, 3,858.63 and 1,677.56

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Solution

The fourth proportional to 2,797.16, 3,858.63 and 1,677.56 is: 2,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.16 : 3,858.63 = 1,677.56 : x
  2. Step 2: Convert to fraction form
    2,797.16/3,858.63 = 1,677.56/x
  3. Step 3: Cross multiply
    2,797.16x = 3,858.63 × 1,677.56
  4. Step 4: Simplify right side
    2,797.16x = 6,473,083.34
  5. Step 5: Solve for x
    x = 6,473,083.34/2,797.16
  6. Step 6: Final answer
    x = 2,314.16

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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.