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Finding the Fourth Proportional to 3,410.73, 4,706.75 and 1,918.64

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Solution

The fourth proportional to 3,410.73, 4,706.75 and 1,918.64 is: 2,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.73 : 4,706.75 = 1,918.64 : x
  2. Step 2: Convert to fraction form
    3,410.73/4,706.75 = 1,918.64/x
  3. Step 3: Cross multiply
    3,410.73x = 4,706.75 × 1,918.64
  4. Step 4: Simplify right side
    3,410.73x = 9,030,570.59
  5. Step 5: Solve for x
    x = 9,030,570.59/3,410.73
  6. Step 6: Final answer
    x = 2,647.70

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Why These Related Problems?

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