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Finding the Fourth Proportional to 1,451.78, 2,176.27 and 958.56

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Solution

The fourth proportional to 1,451.78, 2,176.27 and 958.56 is: 1,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.78 : 2,176.27 = 958.56 : x
  2. Step 2: Convert to fraction form
    1,451.78/2,176.27 = 958.56/x
  3. Step 3: Cross multiply
    1,451.78x = 2,176.27 × 958.56
  4. Step 4: Simplify right side
    1,451.78x = 2,086,085.37
  5. Step 5: Solve for x
    x = 2,086,085.37/1,451.78
  6. Step 6: Final answer
    x = 1,436.92

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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.