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Finding the Fourth Proportional to 2,004.76, 2,767.26 and 1,857.88

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Solution

The fourth proportional to 2,004.76, 2,767.26 and 1,857.88 is: 2,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.76 : 2,767.26 = 1,857.88 : x
  2. Step 2: Convert to fraction form
    2,004.76/2,767.26 = 1,857.88/x
  3. Step 3: Cross multiply
    2,004.76x = 2,767.26 × 1,857.88
  4. Step 4: Simplify right side
    2,004.76x = 5,141,237.01
  5. Step 5: Solve for x
    x = 5,141,237.01/2,004.76
  6. Step 6: Final answer
    x = 2,564.51

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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.