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Finding the Fourth Proportional to 1,726.56, 2,585.72 and 945.38

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Solution

The fourth proportional to 1,726.56, 2,585.72 and 945.38 is: 1,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.56 : 2,585.72 = 945.38 : x
  2. Step 2: Convert to fraction form
    1,726.56/2,585.72 = 945.38/x
  3. Step 3: Cross multiply
    1,726.56x = 2,585.72 × 945.38
  4. Step 4: Simplify right side
    1,726.56x = 2,444,487.97
  5. Step 5: Solve for x
    x = 2,444,487.97/1,726.56
  6. Step 6: Final answer
    x = 1,415.81

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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.