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Finding the Fourth Proportional to 2,971.04, 4,103.08 and 2,262.88

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Solution

The fourth proportional to 2,971.04, 4,103.08 and 2,262.88 is: 3,125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.04 : 4,103.08 = 2,262.88 : x
  2. Step 2: Convert to fraction form
    2,971.04/4,103.08 = 2,262.88/x
  3. Step 3: Cross multiply
    2,971.04x = 4,103.08 × 2,262.88
  4. Step 4: Simplify right side
    2,971.04x = 9,284,777.67
  5. Step 5: Solve for x
    x = 9,284,777.67/2,971.04
  6. Step 6: Final answer
    x = 3,125.09

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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.