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Finding the Fourth Proportional to 2,420.58, 3,629.10 and 776.19

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Solution

The fourth proportional to 2,420.58, 3,629.10 and 776.19 is: 1,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.58 : 3,629.10 = 776.19 : x
  2. Step 2: Convert to fraction form
    2,420.58/3,629.10 = 776.19/x
  3. Step 3: Cross multiply
    2,420.58x = 3,629.10 × 776.19
  4. Step 4: Simplify right side
    2,420.58x = 2,816,871.13
  5. Step 5: Solve for x
    x = 2,816,871.13/2,420.58
  6. Step 6: Final answer
    x = 1,163.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.