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Finding the Fourth Proportional to 2,420.63, 3,631.52 and 777.05

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Solution

The fourth proportional to 2,420.63, 3,631.52 and 777.05 is: 1,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.63 : 3,631.52 = 777.05 : x
  2. Step 2: Convert to fraction form
    2,420.63/3,631.52 = 777.05/x
  3. Step 3: Cross multiply
    2,420.63x = 3,631.52 × 777.05
  4. Step 4: Simplify right side
    2,420.63x = 2,821,872.62
  5. Step 5: Solve for x
    x = 2,821,872.62/2,420.63
  6. Step 6: Final answer
    x = 1,165.76

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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.