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Finding the Fourth Proportional to 2,871.98, 4,308.08 and 923.94

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Solution

The fourth proportional to 2,871.98, 4,308.08 and 923.94 is: 1,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.98 : 4,308.08 = 923.94 : x
  2. Step 2: Convert to fraction form
    2,871.98/4,308.08 = 923.94/x
  3. Step 3: Cross multiply
    2,871.98x = 4,308.08 × 923.94
  4. Step 4: Simplify right side
    2,871.98x = 3,980,407.44
  5. Step 5: Solve for x
    x = 3,980,407.44/2,871.98
  6. Step 6: Final answer
    x = 1,385.95

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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.