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Finding the Fourth Proportional to 2,523.84, 3,476.16 and 2,192.64

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Solution

The fourth proportional to 2,523.84, 3,476.16 and 2,192.64 is: 3,019.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.84 : 3,476.16 = 2,192.64 : x
  2. Step 2: Convert to fraction form
    2,523.84/3,476.16 = 2,192.64/x
  3. Step 3: Cross multiply
    2,523.84x = 3,476.16 × 2,192.64
  4. Step 4: Simplify right side
    2,523.84x = 7,621,967.46
  5. Step 5: Solve for x
    x = 7,621,967.46/2,523.84
  6. Step 6: Final answer
    x = 3,019.99

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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.