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Finding the Fourth Proportional to 2,185.33, 3,277.90 and 541.84

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Solution

The fourth proportional to 2,185.33, 3,277.90 and 541.84 is: 812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.33 : 3,277.90 = 541.84 : x
  2. Step 2: Convert to fraction form
    2,185.33/3,277.90 = 541.84/x
  3. Step 3: Cross multiply
    2,185.33x = 3,277.90 × 541.84
  4. Step 4: Simplify right side
    2,185.33x = 1,776,097.34
  5. Step 5: Solve for x
    x = 1,776,097.34/2,185.33
  6. Step 6: Final answer
    x = 812.74

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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.