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Finding the Fourth Proportional to 4,628.64, 6,942.96 and 2,031.60

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Solution

The fourth proportional to 4,628.64, 6,942.96 and 2,031.60 is: 3,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.64 : 6,942.96 = 2,031.60 : x
  2. Step 2: Convert to fraction form
    4,628.64/6,942.96 = 2,031.60/x
  3. Step 3: Cross multiply
    4,628.64x = 6,942.96 × 2,031.60
  4. Step 4: Simplify right side
    4,628.64x = 14,105,317.54
  5. Step 5: Solve for x
    x = 14,105,317.54/4,628.64
  6. Step 6: Final answer
    x = 3,047.40

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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.