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Finding the Fourth Proportional to 2,676.95, 4,007.63 and 1,562.98

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Solution

The fourth proportional to 2,676.95, 4,007.63 and 1,562.98 is: 2,339.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.95 : 4,007.63 = 1,562.98 : x
  2. Step 2: Convert to fraction form
    2,676.95/4,007.63 = 1,562.98/x
  3. Step 3: Cross multiply
    2,676.95x = 4,007.63 × 1,562.98
  4. Step 4: Simplify right side
    2,676.95x = 6,263,839.43
  5. Step 5: Solve for x
    x = 6,263,839.43/2,676.95
  6. Step 6: Final answer
    x = 2,339.91

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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.