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Finding the Fourth Proportional to 2,953.62, 4,076.10 and 1,627.43

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Solution

The fourth proportional to 2,953.62, 4,076.10 and 1,627.43 is: 2,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.62 : 4,076.10 = 1,627.43 : x
  2. Step 2: Convert to fraction form
    2,953.62/4,076.10 = 1,627.43/x
  3. Step 3: Cross multiply
    2,953.62x = 4,076.10 × 1,627.43
  4. Step 4: Simplify right side
    2,953.62x = 6,633,547.04
  5. Step 5: Solve for x
    x = 6,633,547.04/2,953.62
  6. Step 6: Final answer
    x = 2,245.90

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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.