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Finding the Fourth Proportional to 2,628.97, 3,944.30 and 780.10

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Solution

The fourth proportional to 2,628.97, 3,944.30 and 780.10 is: 1,170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.97 : 3,944.30 = 780.10 : x
  2. Step 2: Convert to fraction form
    2,628.97/3,944.30 = 780.10/x
  3. Step 3: Cross multiply
    2,628.97x = 3,944.30 × 780.10
  4. Step 4: Simplify right side
    2,628.97x = 3,076,948.43
  5. Step 5: Solve for x
    x = 3,076,948.43/2,628.97
  6. Step 6: Final answer
    x = 1,170.40

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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.