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Finding the Fourth Proportional to 1,784.68, 2,676.06 and 758.12

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Solution

The fourth proportional to 1,784.68, 2,676.06 and 758.12 is: 1,136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.68 : 2,676.06 = 758.12 : x
  2. Step 2: Convert to fraction form
    1,784.68/2,676.06 = 758.12/x
  3. Step 3: Cross multiply
    1,784.68x = 2,676.06 × 758.12
  4. Step 4: Simplify right side
    1,784.68x = 2,028,774.61
  5. Step 5: Solve for x
    x = 2,028,774.61/1,784.68
  6. Step 6: Final answer
    x = 1,136.77

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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.