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Finding the Fourth Proportional to 3,242.90, 4,475.04 and 1,984.16

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Solution

The fourth proportional to 3,242.90, 4,475.04 and 1,984.16 is: 2,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.90 : 4,475.04 = 1,984.16 : x
  2. Step 2: Convert to fraction form
    3,242.90/4,475.04 = 1,984.16/x
  3. Step 3: Cross multiply
    3,242.90x = 4,475.04 × 1,984.16
  4. Step 4: Simplify right side
    3,242.90x = 8,879,195.37
  5. Step 5: Solve for x
    x = 8,879,195.37/3,242.90
  6. Step 6: Final answer
    x = 2,738.04

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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.