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Finding the Fourth Proportional to 2,984.96, 4,474.68 and 1,886

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Solution

The fourth proportional to 2,984.96, 4,474.68 and 1,886 is: 2,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.96 : 4,474.68 = 1,886 : x
  2. Step 2: Convert to fraction form
    2,984.96/4,474.68 = 1,886/x
  3. Step 3: Cross multiply
    2,984.96x = 4,474.68 × 1,886
  4. Step 4: Simplify right side
    2,984.96x = 8,439,246.48
  5. Step 5: Solve for x
    x = 8,439,246.48/2,984.96
  6. Step 6: Final answer
    x = 2,827.26

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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.