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Finding the Fourth Proportional to 2,726.27, 4,089.63 and 971.66

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Solution

The fourth proportional to 2,726.27, 4,089.63 and 971.66 is: 1,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.27 : 4,089.63 = 971.66 : x
  2. Step 2: Convert to fraction form
    2,726.27/4,089.63 = 971.66/x
  3. Step 3: Cross multiply
    2,726.27x = 4,089.63 × 971.66
  4. Step 4: Simplify right side
    2,726.27x = 3,973,709.44
  5. Step 5: Solve for x
    x = 3,973,709.44/2,726.27
  6. Step 6: Final answer
    x = 1,457.57

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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.