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Finding the Fourth Proportional to 2,535.79, 3,803.64 and 1,365.07

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Solution

The fourth proportional to 2,535.79, 3,803.64 and 1,365.07 is: 2,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.79 : 3,803.64 = 1,365.07 : x
  2. Step 2: Convert to fraction form
    2,535.79/3,803.64 = 1,365.07/x
  3. Step 3: Cross multiply
    2,535.79x = 3,803.64 × 1,365.07
  4. Step 4: Simplify right side
    2,535.79x = 5,192,234.85
  5. Step 5: Solve for x
    x = 5,192,234.85/2,535.79
  6. Step 6: Final answer
    x = 2,047.58

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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.