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Finding the Fourth Proportional to 4,281.96, 6,422.94 and 1,203.96

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Solution

The fourth proportional to 4,281.96, 6,422.94 and 1,203.96 is: 1,805.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.96 : 6,422.94 = 1,203.96 : x
  2. Step 2: Convert to fraction form
    4,281.96/6,422.94 = 1,203.96/x
  3. Step 3: Cross multiply
    4,281.96x = 6,422.94 × 1,203.96
  4. Step 4: Simplify right side
    4,281.96x = 7,732,962.84
  5. Step 5: Solve for x
    x = 7,732,962.84/4,281.96
  6. Step 6: Final answer
    x = 1,805.94

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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.