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Finding the Fourth Proportional to 1,933.32, 2,900.09 and 546.77

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Solution

The fourth proportional to 1,933.32, 2,900.09 and 546.77 is: 820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.32 : 2,900.09 = 546.77 : x
  2. Step 2: Convert to fraction form
    1,933.32/2,900.09 = 546.77/x
  3. Step 3: Cross multiply
    1,933.32x = 2,900.09 × 546.77
  4. Step 4: Simplify right side
    1,933.32x = 1,585,664.98
  5. Step 5: Solve for x
    x = 1,585,664.98/1,933.32
  6. Step 6: Final answer
    x = 820.18

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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.