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Finding the Fourth Proportional to 1,786.38, 2,666.99 and 1,542.78

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Solution

The fourth proportional to 1,786.38, 2,666.99 and 1,542.78 is: 2,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.38 : 2,666.99 = 1,542.78 : x
  2. Step 2: Convert to fraction form
    1,786.38/2,666.99 = 1,542.78/x
  3. Step 3: Cross multiply
    1,786.38x = 2,666.99 × 1,542.78
  4. Step 4: Simplify right side
    1,786.38x = 4,114,571.12
  5. Step 5: Solve for x
    x = 4,114,571.12/1,786.38
  6. Step 6: Final answer
    x = 2,303.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.