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Finding the Fourth Proportional to 1,641.71, 2,265.84 and 1,567.89

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Solution

The fourth proportional to 1,641.71, 2,265.84 and 1,567.89 is: 2,163.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.71 : 2,265.84 = 1,567.89 : x
  2. Step 2: Convert to fraction form
    1,641.71/2,265.84 = 1,567.89/x
  3. Step 3: Cross multiply
    1,641.71x = 2,265.84 × 1,567.89
  4. Step 4: Simplify right side
    1,641.71x = 3,552,587.88
  5. Step 5: Solve for x
    x = 3,552,587.88/1,641.71
  6. Step 6: Final answer
    x = 2,163.96

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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.