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Finding the Fourth Proportional to 3,283.60, 4,924.84 and 1,638.40

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Solution

The fourth proportional to 3,283.60, 4,924.84 and 1,638.40 is: 2,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.60 : 4,924.84 = 1,638.40 : x
  2. Step 2: Convert to fraction form
    3,283.60/4,924.84 = 1,638.40/x
  3. Step 3: Cross multiply
    3,283.60x = 4,924.84 × 1,638.40
  4. Step 4: Simplify right side
    3,283.60x = 8,068,857.86
  5. Step 5: Solve for x
    x = 8,068,857.86/3,283.60
  6. Step 6: Final answer
    x = 2,457.32

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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.