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Finding the Fourth Proportional to 4,662.52, 6,989.62 and 1,740.96

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Solution

The fourth proportional to 4,662.52, 6,989.62 and 1,740.96 is: 2,609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.52 : 6,989.62 = 1,740.96 : x
  2. Step 2: Convert to fraction form
    4,662.52/6,989.62 = 1,740.96/x
  3. Step 3: Cross multiply
    4,662.52x = 6,989.62 × 1,740.96
  4. Step 4: Simplify right side
    4,662.52x = 12,168,648.84
  5. Step 5: Solve for x
    x = 12,168,648.84/4,662.52
  6. Step 6: Final answer
    x = 2,609.89

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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.