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Finding the Fourth Proportional to 2,830.48, 4,236.82 and 1,786.87

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Solution

The fourth proportional to 2,830.48, 4,236.82 and 1,786.87 is: 2,674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.48 : 4,236.82 = 1,786.87 : x
  2. Step 2: Convert to fraction form
    2,830.48/4,236.82 = 1,786.87/x
  3. Step 3: Cross multiply
    2,830.48x = 4,236.82 × 1,786.87
  4. Step 4: Simplify right side
    2,830.48x = 7,570,646.55
  5. Step 5: Solve for x
    x = 7,570,646.55/2,830.48
  6. Step 6: Final answer
    x = 2,674.69

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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.