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Finding the Fourth Proportional to 3,284.63, 4,924.32 and 1,640.28

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Solution

The fourth proportional to 3,284.63, 4,924.32 and 1,640.28 is: 2,459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.63 : 4,924.32 = 1,640.28 : x
  2. Step 2: Convert to fraction form
    3,284.63/4,924.32 = 1,640.28/x
  3. Step 3: Cross multiply
    3,284.63x = 4,924.32 × 1,640.28
  4. Step 4: Simplify right side
    3,284.63x = 8,077,263.61
  5. Step 5: Solve for x
    x = 8,077,263.61/3,284.63
  6. Step 6: Final answer
    x = 2,459.11

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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.