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Finding the Fourth Proportional to 1,726.98, 2,383.29 and 941.06

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Solution

The fourth proportional to 1,726.98, 2,383.29 and 941.06 is: 1,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.98 : 2,383.29 = 941.06 : x
  2. Step 2: Convert to fraction form
    1,726.98/2,383.29 = 941.06/x
  3. Step 3: Cross multiply
    1,726.98x = 2,383.29 × 941.06
  4. Step 4: Simplify right side
    1,726.98x = 2,242,806.97
  5. Step 5: Solve for x
    x = 2,242,806.97/1,726.98
  6. Step 6: Final answer
    x = 1,298.69

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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.