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Finding the Fourth Proportional to 1,784.17, 2,676.95 and 743.90

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Solution

The fourth proportional to 1,784.17, 2,676.95 and 743.90 is: 1,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.17 : 2,676.95 = 743.90 : x
  2. Step 2: Convert to fraction form
    1,784.17/2,676.95 = 743.90/x
  3. Step 3: Cross multiply
    1,784.17x = 2,676.95 × 743.90
  4. Step 4: Simplify right side
    1,784.17x = 1,991,383.11
  5. Step 5: Solve for x
    x = 1,991,383.11/1,784.17
  6. Step 6: Final answer
    x = 1,116.14

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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.