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Finding the Fourth Proportional to 1,713.81, 2,567.22 and 1,275.53

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Solution

The fourth proportional to 1,713.81, 2,567.22 and 1,275.53 is: 1,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.81 : 2,567.22 = 1,275.53 : x
  2. Step 2: Convert to fraction form
    1,713.81/2,567.22 = 1,275.53/x
  3. Step 3: Cross multiply
    1,713.81x = 2,567.22 × 1,275.53
  4. Step 4: Simplify right side
    1,713.81x = 3,274,553.29
  5. Step 5: Solve for x
    x = 3,274,553.29/1,713.81
  6. Step 6: Final answer
    x = 1,910.69

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