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Finding the Fourth Proportional to 2,726.04, 4,089.28 and 971.43

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Solution

The fourth proportional to 2,726.04, 4,089.28 and 971.43 is: 1,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.04 : 4,089.28 = 971.43 : x
  2. Step 2: Convert to fraction form
    2,726.04/4,089.28 = 971.43/x
  3. Step 3: Cross multiply
    2,726.04x = 4,089.28 × 971.43
  4. Step 4: Simplify right side
    2,726.04x = 3,972,449.27
  5. Step 5: Solve for x
    x = 3,972,449.27/2,726.04
  6. Step 6: Final answer
    x = 1,457.22

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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.