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Finding the Fourth Proportional to 2,572.72, 3,857.84 and 1,476.80

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Solution

The fourth proportional to 2,572.72, 3,857.84 and 1,476.80 is: 2,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.72 : 3,857.84 = 1,476.80 : x
  2. Step 2: Convert to fraction form
    2,572.72/3,857.84 = 1,476.80/x
  3. Step 3: Cross multiply
    2,572.72x = 3,857.84 × 1,476.80
  4. Step 4: Simplify right side
    2,572.72x = 5,697,258.11
  5. Step 5: Solve for x
    x = 5,697,258.11/2,572.72
  6. Step 6: Final answer
    x = 2,214.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.