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Finding the Fourth Proportional to 1,933.86, 2,900.60 and 547.18

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Solution

The fourth proportional to 1,933.86, 2,900.60 and 547.18 is: 820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.86 : 2,900.60 = 547.18 : x
  2. Step 2: Convert to fraction form
    1,933.86/2,900.60 = 547.18/x
  3. Step 3: Cross multiply
    1,933.86x = 2,900.60 × 547.18
  4. Step 4: Simplify right side
    1,933.86x = 1,587,150.31
  5. Step 5: Solve for x
    x = 1,587,150.31/1,933.86
  6. Step 6: Final answer
    x = 820.72

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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.