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Finding the Fourth Proportional to 2,548.92, 3,797.76 and 2,381.28

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Solution

The fourth proportional to 2,548.92, 3,797.76 and 2,381.28 is: 3,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.92 : 3,797.76 = 2,381.28 : x
  2. Step 2: Convert to fraction form
    2,548.92/3,797.76 = 2,381.28/x
  3. Step 3: Cross multiply
    2,548.92x = 3,797.76 × 2,381.28
  4. Step 4: Simplify right side
    2,548.92x = 9,043,529.93
  5. Step 5: Solve for x
    x = 9,043,529.93/2,548.92
  6. Step 6: Final answer
    x = 3,547.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.