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Finding the Fourth Proportional to 2,953.43, 4,078.11 and 2,011.20

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Solution

The fourth proportional to 2,953.43, 4,078.11 and 2,011.20 is: 2,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.43 : 4,078.11 = 2,011.20 : x
  2. Step 2: Convert to fraction form
    2,953.43/4,078.11 = 2,011.20/x
  3. Step 3: Cross multiply
    2,953.43x = 4,078.11 × 2,011.20
  4. Step 4: Simplify right side
    2,953.43x = 8,201,894.83
  5. Step 5: Solve for x
    x = 8,201,894.83/2,953.43
  6. Step 6: Final answer
    x = 2,777.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.