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Finding the Fourth Proportional to 3,033.63, 4,184.64 and 1,914.16

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Solution

The fourth proportional to 3,033.63, 4,184.64 and 1,914.16 is: 2,640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.63 : 4,184.64 = 1,914.16 : x
  2. Step 2: Convert to fraction form
    3,033.63/4,184.64 = 1,914.16/x
  3. Step 3: Cross multiply
    3,033.63x = 4,184.64 × 1,914.16
  4. Step 4: Simplify right side
    3,033.63x = 8,010,070.50
  5. Step 5: Solve for x
    x = 8,010,070.50/3,033.63
  6. Step 6: Final answer
    x = 2,640.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.