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Finding the Fourth Proportional to 3,284.68, 4,924.40 and 1,640.40

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Solution

The fourth proportional to 3,284.68, 4,924.40 and 1,640.40 is: 2,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.68 : 4,924.40 = 1,640.40 : x
  2. Step 2: Convert to fraction form
    3,284.68/4,924.40 = 1,640.40/x
  3. Step 3: Cross multiply
    3,284.68x = 4,924.40 × 1,640.40
  4. Step 4: Simplify right side
    3,284.68x = 8,077,985.76
  5. Step 5: Solve for x
    x = 8,077,985.76/3,284.68
  6. Step 6: Final answer
    x = 2,459.29

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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.