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Finding the Fourth Proportional to 2,153.02, 3,228.46 and 691.99

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Solution

The fourth proportional to 2,153.02, 3,228.46 and 691.99 is: 1,037.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.02 : 3,228.46 = 691.99 : x
  2. Step 2: Convert to fraction form
    2,153.02/3,228.46 = 691.99/x
  3. Step 3: Cross multiply
    2,153.02x = 3,228.46 × 691.99
  4. Step 4: Simplify right side
    2,153.02x = 2,234,062.04
  5. Step 5: Solve for x
    x = 2,234,062.04/2,153.02
  6. Step 6: Final answer
    x = 1,037.64

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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.