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Finding the Fourth Proportional to 2,130.55, 3,189.90 and 1,088.30

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Solution

The fourth proportional to 2,130.55, 3,189.90 and 1,088.30 is: 1,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.55 : 3,189.90 = 1,088.30 : x
  2. Step 2: Convert to fraction form
    2,130.55/3,189.90 = 1,088.30/x
  3. Step 3: Cross multiply
    2,130.55x = 3,189.90 × 1,088.30
  4. Step 4: Simplify right side
    2,130.55x = 3,471,568.17
  5. Step 5: Solve for x
    x = 3,471,568.17/2,130.55
  6. Step 6: Final answer
    x = 1,629.42

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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.