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Finding the Fourth Proportional to 1,535.37, 2,301.12 and 832.55

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Solution

The fourth proportional to 1,535.37, 2,301.12 and 832.55 is: 1,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.37 : 2,301.12 = 832.55 : x
  2. Step 2: Convert to fraction form
    1,535.37/2,301.12 = 832.55/x
  3. Step 3: Cross multiply
    1,535.37x = 2,301.12 × 832.55
  4. Step 4: Simplify right side
    1,535.37x = 1,915,803.21
  5. Step 5: Solve for x
    x = 1,915,803.21/1,535.37
  6. Step 6: Final answer
    x = 1,247.78

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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.