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Finding the Fourth Proportional to 1,726.67, 2,382.81 and 940.72

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Solution

The fourth proportional to 1,726.67, 2,382.81 and 940.72 is: 1,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.67 : 2,382.81 = 940.72 : x
  2. Step 2: Convert to fraction form
    1,726.67/2,382.81 = 940.72/x
  3. Step 3: Cross multiply
    1,726.67x = 2,382.81 × 940.72
  4. Step 4: Simplify right side
    1,726.67x = 2,241,557.02
  5. Step 5: Solve for x
    x = 2,241,557.02/1,726.67
  6. Step 6: Final answer
    x = 1,298.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.