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Finding the Fourth Proportional to 2,548.56, 3,509.18 and 2,232.06

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Solution

The fourth proportional to 2,548.56, 3,509.18 and 2,232.06 is: 3,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.56 : 3,509.18 = 2,232.06 : x
  2. Step 2: Convert to fraction form
    2,548.56/3,509.18 = 2,232.06/x
  3. Step 3: Cross multiply
    2,548.56x = 3,509.18 × 2,232.06
  4. Step 4: Simplify right side
    2,548.56x = 7,832,700.31
  5. Step 5: Solve for x
    x = 7,832,700.31/2,548.56
  6. Step 6: Final answer
    x = 3,073.38

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Why These Related Problems?

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