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Finding the Fourth Proportional to 2,897.84, 3,996.60 and 2,372.96

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Solution

The fourth proportional to 2,897.84, 3,996.60 and 2,372.96 is: 3,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.84 : 3,996.60 = 2,372.96 : x
  2. Step 2: Convert to fraction form
    2,897.84/3,996.60 = 2,372.96/x
  3. Step 3: Cross multiply
    2,897.84x = 3,996.60 × 2,372.96
  4. Step 4: Simplify right side
    2,897.84x = 9,483,771.94
  5. Step 5: Solve for x
    x = 9,483,771.94/2,897.84
  6. Step 6: Final answer
    x = 3,272.70

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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.