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Finding the Fourth Proportional to 2,551.08, 3,526.86 and 2,157.24

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Solution

The fourth proportional to 2,551.08, 3,526.86 and 2,157.24 is: 2,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.08 : 3,526.86 = 2,157.24 : x
  2. Step 2: Convert to fraction form
    2,551.08/3,526.86 = 2,157.24/x
  3. Step 3: Cross multiply
    2,551.08x = 3,526.86 × 2,157.24
  4. Step 4: Simplify right side
    2,551.08x = 7,608,283.47
  5. Step 5: Solve for x
    x = 7,608,283.47/2,551.08
  6. Step 6: Final answer
    x = 2,982.38

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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.