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Finding the Fourth Proportional to 2,971.42, 4,101.03 and 2,262.13

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Solution

The fourth proportional to 2,971.42, 4,101.03 and 2,262.13 is: 3,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.42 : 4,101.03 = 2,262.13 : x
  2. Step 2: Convert to fraction form
    2,971.42/4,101.03 = 2,262.13/x
  3. Step 3: Cross multiply
    2,971.42x = 4,101.03 × 2,262.13
  4. Step 4: Simplify right side
    2,971.42x = 9,277,042.49
  5. Step 5: Solve for x
    x = 9,277,042.49/2,971.42
  6. Step 6: Final answer
    x = 3,122.10

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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.