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Finding the Fourth Proportional to 2,174.57, 3,262.32 and 876.04

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Solution

The fourth proportional to 2,174.57, 3,262.32 and 876.04 is: 1,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.57 : 3,262.32 = 876.04 : x
  2. Step 2: Convert to fraction form
    2,174.57/3,262.32 = 876.04/x
  3. Step 3: Cross multiply
    2,174.57x = 3,262.32 × 876.04
  4. Step 4: Simplify right side
    2,174.57x = 2,857,922.81
  5. Step 5: Solve for x
    x = 2,857,922.81/2,174.57
  6. Step 6: Final answer
    x = 1,314.25

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1.5x scale

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.