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Finding the Fourth Proportional to 1,786.47, 2,679.83 and 553.91

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Solution

The fourth proportional to 1,786.47, 2,679.83 and 553.91 is: 830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.47 : 2,679.83 = 553.91 : x
  2. Step 2: Convert to fraction form
    1,786.47/2,679.83 = 553.91/x
  3. Step 3: Cross multiply
    1,786.47x = 2,679.83 × 553.91
  4. Step 4: Simplify right side
    1,786.47x = 1,484,368.47
  5. Step 5: Solve for x
    x = 1,484,368.47/1,786.47
  6. Step 6: Final answer
    x = 830.89

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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.