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Finding the Fourth Proportional to 2,567.80, 3,544.44 and 1,505.90

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Solution

The fourth proportional to 2,567.80, 3,544.44 and 1,505.90 is: 2,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.80 : 3,544.44 = 1,505.90 : x
  2. Step 2: Convert to fraction form
    2,567.80/3,544.44 = 1,505.90/x
  3. Step 3: Cross multiply
    2,567.80x = 3,544.44 × 1,505.90
  4. Step 4: Simplify right side
    2,567.80x = 5,337,564.67
  5. Step 5: Solve for x
    x = 5,337,564.67/2,567.80
  6. Step 6: Final answer
    x = 2,078.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.