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Finding the Fourth Proportional to 2,185.32, 3,277.93 and 541.84

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Solution

The fourth proportional to 2,185.32, 3,277.93 and 541.84 is: 812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.32 : 3,277.93 = 541.84 : x
  2. Step 2: Convert to fraction form
    2,185.32/3,277.93 = 541.84/x
  3. Step 3: Cross multiply
    2,185.32x = 3,277.93 × 541.84
  4. Step 4: Simplify right side
    2,185.32x = 1,776,113.59
  5. Step 5: Solve for x
    x = 1,776,113.59/2,185.32
  6. Step 6: Final answer
    x = 812.75

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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.