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Finding the Fourth Proportional to 2,830.87, 4,241.95 and 1,186.51

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Solution

The fourth proportional to 2,830.87, 4,241.95 and 1,186.51 is: 1,777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.87 : 4,241.95 = 1,186.51 : x
  2. Step 2: Convert to fraction form
    2,830.87/4,241.95 = 1,186.51/x
  3. Step 3: Cross multiply
    2,830.87x = 4,241.95 × 1,186.51
  4. Step 4: Simplify right side
    2,830.87x = 5,033,116.09
  5. Step 5: Solve for x
    x = 5,033,116.09/2,830.87
  6. Step 6: Final answer
    x = 1,777.94

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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.