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Finding the Fourth Proportional to 2,534.08, 3,816.04 and 2,213.32

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Solution

The fourth proportional to 2,534.08, 3,816.04 and 2,213.32 is: 3,333.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.08 : 3,816.04 = 2,213.32 : x
  2. Step 2: Convert to fraction form
    2,534.08/3,816.04 = 2,213.32/x
  3. Step 3: Cross multiply
    2,534.08x = 3,816.04 × 2,213.32
  4. Step 4: Simplify right side
    2,534.08x = 8,446,117.65
  5. Step 5: Solve for x
    x = 8,446,117.65/2,534.08
  6. Step 6: Final answer
    x = 3,333.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.