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Finding the Fourth Proportional to 2,535.06, 3,803.25 and 869.16

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Solution

The fourth proportional to 2,535.06, 3,803.25 and 869.16 is: 1,303.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.06 : 3,803.25 = 869.16 : x
  2. Step 2: Convert to fraction form
    2,535.06/3,803.25 = 869.16/x
  3. Step 3: Cross multiply
    2,535.06x = 3,803.25 × 869.16
  4. Step 4: Simplify right side
    2,535.06x = 3,305,632.77
  5. Step 5: Solve for x
    x = 3,305,632.77/2,535.06
  6. Step 6: Final answer
    x = 1,303.97

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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.