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Finding the Fourth Proportional to 2,897.46, 4,344.62 and 1,022.41

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Solution

The fourth proportional to 2,897.46, 4,344.62 and 1,022.41 is: 1,533.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.46 : 4,344.62 = 1,022.41 : x
  2. Step 2: Convert to fraction form
    2,897.46/4,344.62 = 1,022.41/x
  3. Step 3: Cross multiply
    2,897.46x = 4,344.62 × 1,022.41
  4. Step 4: Simplify right side
    2,897.46x = 4,441,982.93
  5. Step 5: Solve for x
    x = 4,441,982.93/2,897.46
  6. Step 6: Final answer
    x = 1,533.06

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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.