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Finding the Fourth Proportional to 2,026.84, 2,797.08 and 1,142.68

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Solution

The fourth proportional to 2,026.84, 2,797.08 and 1,142.68 is: 1,576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.84 : 2,797.08 = 1,142.68 : x
  2. Step 2: Convert to fraction form
    2,026.84/2,797.08 = 1,142.68/x
  3. Step 3: Cross multiply
    2,026.84x = 2,797.08 × 1,142.68
  4. Step 4: Simplify right side
    2,026.84x = 3,196,167.37
  5. Step 5: Solve for x
    x = 3,196,167.37/2,026.84
  6. Step 6: Final answer
    x = 1,576.92

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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.