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Finding the Fourth Proportional to 2,548.84, 3,823.66 and 1,088

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Solution

The fourth proportional to 2,548.84, 3,823.66 and 1,088 is: 1,632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.84 : 3,823.66 = 1,088 : x
  2. Step 2: Convert to fraction form
    2,548.84/3,823.66 = 1,088/x
  3. Step 3: Cross multiply
    2,548.84x = 3,823.66 × 1,088
  4. Step 4: Simplify right side
    2,548.84x = 4,160,142.08
  5. Step 5: Solve for x
    x = 4,160,142.08/2,548.84
  6. Step 6: Final answer
    x = 1,632.17

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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.