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Finding the Fourth Proportional to 1,840.56, 2,760.96 and 542.40

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Solution

The fourth proportional to 1,840.56, 2,760.96 and 542.40 is: 813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.56 : 2,760.96 = 542.40 : x
  2. Step 2: Convert to fraction form
    1,840.56/2,760.96 = 542.40/x
  3. Step 3: Cross multiply
    1,840.56x = 2,760.96 × 542.40
  4. Step 4: Simplify right side
    1,840.56x = 1,497,544.70
  5. Step 5: Solve for x
    x = 1,497,544.70/1,840.56
  6. Step 6: Final answer
    x = 813.64

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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.