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Finding the Fourth Proportional to 1,456.19, 2,010.36 and 960.27

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Solution

The fourth proportional to 1,456.19, 2,010.36 and 960.27 is: 1,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.19 : 2,010.36 = 960.27 : x
  2. Step 2: Convert to fraction form
    1,456.19/2,010.36 = 960.27/x
  3. Step 3: Cross multiply
    1,456.19x = 2,010.36 × 960.27
  4. Step 4: Simplify right side
    1,456.19x = 1,930,488.40
  5. Step 5: Solve for x
    x = 1,930,488.40/1,456.19
  6. Step 6: Final answer
    x = 1,325.72

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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.