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Finding the Fourth Proportional to 2,130.55, 3,195.81 and 832.02

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Solution

The fourth proportional to 2,130.55, 3,195.81 and 832.02 is: 1,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.55 : 3,195.81 = 832.02 : x
  2. Step 2: Convert to fraction form
    2,130.55/3,195.81 = 832.02/x
  3. Step 3: Cross multiply
    2,130.55x = 3,195.81 × 832.02
  4. Step 4: Simplify right side
    2,130.55x = 2,658,977.84
  5. Step 5: Solve for x
    x = 2,658,977.84/2,130.55
  6. Step 6: Final answer
    x = 1,248.02

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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.