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Finding the Fourth Proportional to 2,141.92, 2,955.62 and 1,582.68

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Solution

The fourth proportional to 2,141.92, 2,955.62 and 1,582.68 is: 2,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.92 : 2,955.62 = 1,582.68 : x
  2. Step 2: Convert to fraction form
    2,141.92/2,955.62 = 1,582.68/x
  3. Step 3: Cross multiply
    2,141.92x = 2,955.62 × 1,582.68
  4. Step 4: Simplify right side
    2,141.92x = 4,677,800.66
  5. Step 5: Solve for x
    x = 4,677,800.66/2,141.92
  6. Step 6: Final answer
    x = 2,183.93

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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.