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Finding the Fourth Proportional to 1,726.01, 2,589.37 and 556.17

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Solution

The fourth proportional to 1,726.01, 2,589.37 and 556.17 is: 834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.01 : 2,589.37 = 556.17 : x
  2. Step 2: Convert to fraction form
    1,726.01/2,589.37 = 556.17/x
  3. Step 3: Cross multiply
    1,726.01x = 2,589.37 × 556.17
  4. Step 4: Simplify right side
    1,726.01x = 1,440,118.81
  5. Step 5: Solve for x
    x = 1,440,118.81/1,726.01
  6. Step 6: Final answer
    x = 834.36

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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.