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Finding the Fourth Proportional to 1,884.99, 2,827.50 and 1,769.58

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Solution

The fourth proportional to 1,884.99, 2,827.50 and 1,769.58 is: 2,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.99 : 2,827.50 = 1,769.58 : x
  2. Step 2: Convert to fraction form
    1,884.99/2,827.50 = 1,769.58/x
  3. Step 3: Cross multiply
    1,884.99x = 2,827.50 × 1,769.58
  4. Step 4: Simplify right side
    1,884.99x = 5,003,487.45
  5. Step 5: Solve for x
    x = 5,003,487.45/1,884.99
  6. Step 6: Final answer
    x = 2,654.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.