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Finding the Fourth Proportional to 1,301.91, 1,948.26 and 1,121.49

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Solution

The fourth proportional to 1,301.91, 1,948.26 and 1,121.49 is: 1,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.91 : 1,948.26 = 1,121.49 : x
  2. Step 2: Convert to fraction form
    1,301.91/1,948.26 = 1,121.49/x
  3. Step 3: Cross multiply
    1,301.91x = 1,948.26 × 1,121.49
  4. Step 4: Simplify right side
    1,301.91x = 2,184,954.11
  5. Step 5: Solve for x
    x = 2,184,954.11/1,301.91
  6. Step 6: Final answer
    x = 1,678.27

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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.