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Finding the Fourth Proportional to 2,628.91, 3,944.13 and 780.07

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Solution

The fourth proportional to 2,628.91, 3,944.13 and 780.07 is: 1,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.91 : 3,944.13 = 780.07 : x
  2. Step 2: Convert to fraction form
    2,628.91/3,944.13 = 780.07/x
  3. Step 3: Cross multiply
    2,628.91x = 3,944.13 × 780.07
  4. Step 4: Simplify right side
    2,628.91x = 3,076,677.77
  5. Step 5: Solve for x
    x = 3,076,677.77/2,628.91
  6. Step 6: Final answer
    x = 1,170.33

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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.