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Finding the Fourth Proportional to 2,777.16, 3,832.50 and 1,535.24

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Solution

The fourth proportional to 2,777.16, 3,832.50 and 1,535.24 is: 2,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.16 : 3,832.50 = 1,535.24 : x
  2. Step 2: Convert to fraction form
    2,777.16/3,832.50 = 1,535.24/x
  3. Step 3: Cross multiply
    2,777.16x = 3,832.50 × 1,535.24
  4. Step 4: Simplify right side
    2,777.16x = 5,883,807.30
  5. Step 5: Solve for x
    x = 5,883,807.30/2,777.16
  6. Step 6: Final answer
    x = 2,118.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.