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Finding the Fourth Proportional to 2,152.29, 3,228.77 and 691.26

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Solution

The fourth proportional to 2,152.29, 3,228.77 and 691.26 is: 1,037.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.29 : 3,228.77 = 691.26 : x
  2. Step 2: Convert to fraction form
    2,152.29/3,228.77 = 691.26/x
  3. Step 3: Cross multiply
    2,152.29x = 3,228.77 × 691.26
  4. Step 4: Simplify right side
    2,152.29x = 2,231,916.09
  5. Step 5: Solve for x
    x = 2,231,916.09/2,152.29
  6. Step 6: Final answer
    x = 1,037.00

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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.