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Finding the Fourth Proportional to 1,827.14, 2,741.06 and 950.06

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Solution

The fourth proportional to 1,827.14, 2,741.06 and 950.06 is: 1,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.14 : 2,741.06 = 950.06 : x
  2. Step 2: Convert to fraction form
    1,827.14/2,741.06 = 950.06/x
  3. Step 3: Cross multiply
    1,827.14x = 2,741.06 × 950.06
  4. Step 4: Simplify right side
    1,827.14x = 2,604,180.69
  5. Step 5: Solve for x
    x = 2,604,180.69/1,827.14
  6. Step 6: Final answer
    x = 1,425.28

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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.