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Finding the Fourth Proportional to 2,535.56, 3,803.70 and 780.71

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Solution

The fourth proportional to 2,535.56, 3,803.70 and 780.71 is: 1,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.56 : 3,803.70 = 780.71 : x
  2. Step 2: Convert to fraction form
    2,535.56/3,803.70 = 780.71/x
  3. Step 3: Cross multiply
    2,535.56x = 3,803.70 × 780.71
  4. Step 4: Simplify right side
    2,535.56x = 2,969,596.14
  5. Step 5: Solve for x
    x = 2,969,596.14/2,535.56
  6. Step 6: Final answer
    x = 1,171.18

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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.