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Finding the Fourth Proportional to 2,615.70, 3,609.27 and 1,567.50

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Solution

The fourth proportional to 2,615.70, 3,609.27 and 1,567.50 is: 2,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.70 : 3,609.27 = 1,567.50 : x
  2. Step 2: Convert to fraction form
    2,615.70/3,609.27 = 1,567.50/x
  3. Step 3: Cross multiply
    2,615.70x = 3,609.27 × 1,567.50
  4. Step 4: Simplify right side
    2,615.70x = 5,657,530.73
  5. Step 5: Solve for x
    x = 5,657,530.73/2,615.70
  6. Step 6: Final answer
    x = 2,162.91

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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.