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Finding the Fourth Proportional to 2,562.90, 3,844.80 and 1,176.40

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Solution

The fourth proportional to 2,562.90, 3,844.80 and 1,176.40 is: 1,764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.90 : 3,844.80 = 1,176.40 : x
  2. Step 2: Convert to fraction form
    2,562.90/3,844.80 = 1,176.40/x
  3. Step 3: Cross multiply
    2,562.90x = 3,844.80 × 1,176.40
  4. Step 4: Simplify right side
    2,562.90x = 4,523,022.72
  5. Step 5: Solve for x
    x = 4,523,022.72/2,562.90
  6. Step 6: Final answer
    x = 1,764.81

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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.