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Finding the Fourth Proportional to 2,284.52, 3,425.69 and 1,051.56

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Solution

The fourth proportional to 2,284.52, 3,425.69 and 1,051.56 is: 1,576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.52 : 3,425.69 = 1,051.56 : x
  2. Step 2: Convert to fraction form
    2,284.52/3,425.69 = 1,051.56/x
  3. Step 3: Cross multiply
    2,284.52x = 3,425.69 × 1,051.56
  4. Step 4: Simplify right side
    2,284.52x = 3,602,321.21
  5. Step 5: Solve for x
    x = 3,602,321.21/2,284.52
  6. Step 6: Final answer
    x = 1,576.84

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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.