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Finding the Fourth Proportional to 1,786.35, 2,464.02 and 1,288.20

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Solution

The fourth proportional to 1,786.35, 2,464.02 and 1,288.20 is: 1,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.35 : 2,464.02 = 1,288.20 : x
  2. Step 2: Convert to fraction form
    1,786.35/2,464.02 = 1,288.20/x
  3. Step 3: Cross multiply
    1,786.35x = 2,464.02 × 1,288.20
  4. Step 4: Simplify right side
    1,786.35x = 3,174,159.80
  5. Step 5: Solve for x
    x = 3,174,159.80/1,786.35
  6. Step 6: Final answer
    x = 1,776.89

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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.