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Finding the Fourth Proportional to 2,677.55, 4,017.18 and 829.03

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Solution

The fourth proportional to 2,677.55, 4,017.18 and 829.03 is: 1,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.55 : 4,017.18 = 829.03 : x
  2. Step 2: Convert to fraction form
    2,677.55/4,017.18 = 829.03/x
  3. Step 3: Cross multiply
    2,677.55x = 4,017.18 × 829.03
  4. Step 4: Simplify right side
    2,677.55x = 3,330,338.50
  5. Step 5: Solve for x
    x = 3,330,338.50/2,677.55
  6. Step 6: Final answer
    x = 1,243.80

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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.