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Finding the Fourth Proportional to 2,000.24, 2,758.53 and 1,254.28

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Solution

The fourth proportional to 2,000.24, 2,758.53 and 1,254.28 is: 1,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.24 : 2,758.53 = 1,254.28 : x
  2. Step 2: Convert to fraction form
    2,000.24/2,758.53 = 1,254.28/x
  3. Step 3: Cross multiply
    2,000.24x = 2,758.53 × 1,254.28
  4. Step 4: Simplify right side
    2,000.24x = 3,459,969.01
  5. Step 5: Solve for x
    x = 3,459,969.01/2,000.24
  6. Step 6: Final answer
    x = 1,729.78

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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.