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Finding the Fourth Proportional to 2,284.70, 3,152.84 and 1,289.96

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Solution

The fourth proportional to 2,284.70, 3,152.84 and 1,289.96 is: 1,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.70 : 3,152.84 = 1,289.96 : x
  2. Step 2: Convert to fraction form
    2,284.70/3,152.84 = 1,289.96/x
  3. Step 3: Cross multiply
    2,284.70x = 3,152.84 × 1,289.96
  4. Step 4: Simplify right side
    2,284.70x = 4,067,037.49
  5. Step 5: Solve for x
    x = 4,067,037.49/2,284.70
  6. Step 6: Final answer
    x = 1,780.12

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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.