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Finding the Fourth Proportional to 4,231.60, 6,342.90 and 2,038.90

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Solution

The fourth proportional to 4,231.60, 6,342.90 and 2,038.90 is: 3,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.60 : 6,342.90 = 2,038.90 : x
  2. Step 2: Convert to fraction form
    4,231.60/6,342.90 = 2,038.90/x
  3. Step 3: Cross multiply
    4,231.60x = 6,342.90 × 2,038.90
  4. Step 4: Simplify right side
    4,231.60x = 12,932,538.81
  5. Step 5: Solve for x
    x = 12,932,538.81/4,231.60
  6. Step 6: Final answer
    x = 3,056.18

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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.