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Finding the Fourth Proportional to 1,580.92, 2,182.06 and 960.44

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Solution

The fourth proportional to 1,580.92, 2,182.06 and 960.44 is: 1,325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.92 : 2,182.06 = 960.44 : x
  2. Step 2: Convert to fraction form
    1,580.92/2,182.06 = 960.44/x
  3. Step 3: Cross multiply
    1,580.92x = 2,182.06 × 960.44
  4. Step 4: Simplify right side
    1,580.92x = 2,095,737.71
  5. Step 5: Solve for x
    x = 2,095,737.71/1,580.92
  6. Step 6: Final answer
    x = 1,325.64

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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.