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Finding the Fourth Proportional to 1,628.13, 2,442.30 and 654.11

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Solution

The fourth proportional to 1,628.13, 2,442.30 and 654.11 is: 981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.13 : 2,442.30 = 654.11 : x
  2. Step 2: Convert to fraction form
    1,628.13/2,442.30 = 654.11/x
  3. Step 3: Cross multiply
    1,628.13x = 2,442.30 × 654.11
  4. Step 4: Simplify right side
    1,628.13x = 1,597,520.64
  5. Step 5: Solve for x
    x = 1,597,520.64/1,628.13
  6. Step 6: Final answer
    x = 981.20

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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.