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Finding the Fourth Proportional to 2,953.88, 4,430.84 and 1,222.48

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Solution

The fourth proportional to 2,953.88, 4,430.84 and 1,222.48 is: 1,833.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.88 : 4,430.84 = 1,222.48 : x
  2. Step 2: Convert to fraction form
    2,953.88/4,430.84 = 1,222.48/x
  3. Step 3: Cross multiply
    2,953.88x = 4,430.84 × 1,222.48
  4. Step 4: Simplify right side
    2,953.88x = 5,416,613.28
  5. Step 5: Solve for x
    x = 5,416,613.28/2,953.88
  6. Step 6: Final answer
    x = 1,833.73

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