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Finding the Fourth Proportional to 2,271.76, 3,410.76 and 2,232.88

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Solution

The fourth proportional to 2,271.76, 3,410.76 and 2,232.88 is: 3,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.76 : 3,410.76 = 2,232.88 : x
  2. Step 2: Convert to fraction form
    2,271.76/3,410.76 = 2,232.88/x
  3. Step 3: Cross multiply
    2,271.76x = 3,410.76 × 2,232.88
  4. Step 4: Simplify right side
    2,271.76x = 7,615,817.79
  5. Step 5: Solve for x
    x = 7,615,817.79/2,271.76
  6. Step 6: Final answer
    x = 3,352.39

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1.5x scale

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.