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Finding the Fourth Proportional to 1,827.92, 2,742.84 and 962.32

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Solution

The fourth proportional to 1,827.92, 2,742.84 and 962.32 is: 1,443.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.92 : 2,742.84 = 962.32 : x
  2. Step 2: Convert to fraction form
    1,827.92/2,742.84 = 962.32/x
  3. Step 3: Cross multiply
    1,827.92x = 2,742.84 × 962.32
  4. Step 4: Simplify right side
    1,827.92x = 2,639,489.79
  5. Step 5: Solve for x
    x = 2,639,489.79/1,827.92
  6. Step 6: Final answer
    x = 1,443.99

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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.