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Finding the Fourth Proportional to 2,271, 3,407.32 and 1,117.56

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Solution

The fourth proportional to 2,271, 3,407.32 and 1,117.56 is: 1,676.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271 : 3,407.32 = 1,117.56 : x
  2. Step 2: Convert to fraction form
    2,271/3,407.32 = 1,117.56/x
  3. Step 3: Cross multiply
    2,271x = 3,407.32 × 1,117.56
  4. Step 4: Simplify right side
    2,271x = 3,807,884.54
  5. Step 5: Solve for x
    x = 3,807,884.54/2,271
  6. Step 6: Final answer
    x = 1,676.74

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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.