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Finding the Fourth Proportional to 1,966.40, 2,945.52 and 1,638.40

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Solution

The fourth proportional to 1,966.40, 2,945.52 and 1,638.40 is: 2,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.40 : 2,945.52 = 1,638.40 : x
  2. Step 2: Convert to fraction form
    1,966.40/2,945.52 = 1,638.40/x
  3. Step 3: Cross multiply
    1,966.40x = 2,945.52 × 1,638.40
  4. Step 4: Simplify right side
    1,966.40x = 4,825,939.97
  5. Step 5: Solve for x
    x = 4,825,939.97/1,966.40
  6. Step 6: Final answer
    x = 2,454.20

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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.