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Finding the Fourth Proportional to 2,535.56, 3,803.39 and 870.07

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Solution

The fourth proportional to 2,535.56, 3,803.39 and 870.07 is: 1,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.56 : 3,803.39 = 870.07 : x
  2. Step 2: Convert to fraction form
    2,535.56/3,803.39 = 870.07/x
  3. Step 3: Cross multiply
    2,535.56x = 3,803.39 × 870.07
  4. Step 4: Simplify right side
    2,535.56x = 3,309,215.54
  5. Step 5: Solve for x
    x = 3,309,215.54/2,535.56
  6. Step 6: Final answer
    x = 1,305.12

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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.