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Finding the Fourth Proportional to 1,476.66, 2,213.55 and 1,257.78

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Solution

The fourth proportional to 1,476.66, 2,213.55 and 1,257.78 is: 1,885.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.66 : 2,213.55 = 1,257.78 : x
  2. Step 2: Convert to fraction form
    1,476.66/2,213.55 = 1,257.78/x
  3. Step 3: Cross multiply
    1,476.66x = 2,213.55 × 1,257.78
  4. Step 4: Simplify right side
    1,476.66x = 2,784,158.92
  5. Step 5: Solve for x
    x = 2,784,158.92/1,476.66
  6. Step 6: Final answer
    x = 1,885.44

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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.