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Finding the Fourth Proportional to 2,222.68, 3,071.10 and 1,760.44

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Solution

The fourth proportional to 2,222.68, 3,071.10 and 1,760.44 is: 2,432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.68 : 3,071.10 = 1,760.44 : x
  2. Step 2: Convert to fraction form
    2,222.68/3,071.10 = 1,760.44/x
  3. Step 3: Cross multiply
    2,222.68x = 3,071.10 × 1,760.44
  4. Step 4: Simplify right side
    2,222.68x = 5,406,487.28
  5. Step 5: Solve for x
    x = 5,406,487.28/2,222.68
  6. Step 6: Final answer
    x = 2,432.42

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1.5x scale

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.