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Finding the Fourth Proportional to 3,422.84, 4,723.64 and 1,931.12

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Solution

The fourth proportional to 3,422.84, 4,723.64 and 1,931.12 is: 2,665.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.84 : 4,723.64 = 1,931.12 : x
  2. Step 2: Convert to fraction form
    3,422.84/4,723.64 = 1,931.12/x
  3. Step 3: Cross multiply
    3,422.84x = 4,723.64 × 1,931.12
  4. Step 4: Simplify right side
    3,422.84x = 9,121,915.68
  5. Step 5: Solve for x
    x = 9,121,915.68/3,422.84
  6. Step 6: Final answer
    x = 2,665.01

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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.