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Finding the Fourth Proportional to 2,334.75, 3,502.73 and 874.01

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Solution

The fourth proportional to 2,334.75, 3,502.73 and 874.01 is: 1,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.75 : 3,502.73 = 874.01 : x
  2. Step 2: Convert to fraction form
    2,334.75/3,502.73 = 874.01/x
  3. Step 3: Cross multiply
    2,334.75x = 3,502.73 × 874.01
  4. Step 4: Simplify right side
    2,334.75x = 3,061,421.05
  5. Step 5: Solve for x
    x = 3,061,421.05/2,334.75
  6. Step 6: Final answer
    x = 1,311.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.