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Finding the Fourth Proportional to 2,271.55, 3,402.77 and 1,656.56

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Solution

The fourth proportional to 2,271.55, 3,402.77 and 1,656.56 is: 2,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.55 : 3,402.77 = 1,656.56 : x
  2. Step 2: Convert to fraction form
    2,271.55/3,402.77 = 1,656.56/x
  3. Step 3: Cross multiply
    2,271.55x = 3,402.77 × 1,656.56
  4. Step 4: Simplify right side
    2,271.55x = 5,636,867.37
  5. Step 5: Solve for x
    x = 5,636,867.37/2,271.55
  6. Step 6: Final answer
    x = 2,481.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.