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Finding the Fourth Proportional to 2,898.16, 3,991.38 and 2,524.96

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Solution

The fourth proportional to 2,898.16, 3,991.38 and 2,524.96 is: 3,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.16 : 3,991.38 = 2,524.96 : x
  2. Step 2: Convert to fraction form
    2,898.16/3,991.38 = 2,524.96/x
  3. Step 3: Cross multiply
    2,898.16x = 3,991.38 × 2,524.96
  4. Step 4: Simplify right side
    2,898.16x = 10,078,074.84
  5. Step 5: Solve for x
    x = 10,078,074.84/2,898.16
  6. Step 6: Final answer
    x = 3,477.40

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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.