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Finding the Fourth Proportional to 1,284.56, 1,780.01 and 1,206.53

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Solution

The fourth proportional to 1,284.56, 1,780.01 and 1,206.53 is: 1,671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.56 : 1,780.01 = 1,206.53 : x
  2. Step 2: Convert to fraction form
    1,284.56/1,780.01 = 1,206.53/x
  3. Step 3: Cross multiply
    1,284.56x = 1,780.01 × 1,206.53
  4. Step 4: Simplify right side
    1,284.56x = 2,147,629.58
  5. Step 5: Solve for x
    x = 2,147,629.58/1,284.56
  6. Step 6: Final answer
    x = 1,671.89

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.