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Finding the Fourth Proportional to 4,630.64, 6,945.96 and 2,033.60

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Solution

The fourth proportional to 4,630.64, 6,945.96 and 2,033.60 is: 3,050.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.64 : 6,945.96 = 2,033.60 : x
  2. Step 2: Convert to fraction form
    4,630.64/6,945.96 = 2,033.60/x
  3. Step 3: Cross multiply
    4,630.64x = 6,945.96 × 2,033.60
  4. Step 4: Simplify right side
    4,630.64x = 14,125,304.26
  5. Step 5: Solve for x
    x = 14,125,304.26/4,630.64
  6. Step 6: Final answer
    x = 3,050.40

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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.