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Finding the Fourth Proportional to 3,277.80, 4,917.50 and 1,546

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Solution

The fourth proportional to 3,277.80, 4,917.50 and 1,546 is: 2,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.80 : 4,917.50 = 1,546 : x
  2. Step 2: Convert to fraction form
    3,277.80/4,917.50 = 1,546/x
  3. Step 3: Cross multiply
    3,277.80x = 4,917.50 × 1,546
  4. Step 4: Simplify right side
    3,277.80x = 7,602,455
  5. Step 5: Solve for x
    x = 7,602,455/3,277.80
  6. Step 6: Final answer
    x = 2,319.38

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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.