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Finding the Fourth Proportional to 2,174.16, 3,258 and 874.92

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Solution

The fourth proportional to 2,174.16, 3,258 and 874.92 is: 1,311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.16 : 3,258 = 874.92 : x
  2. Step 2: Convert to fraction form
    2,174.16/3,258 = 874.92/x
  3. Step 3: Cross multiply
    2,174.16x = 3,258 × 874.92
  4. Step 4: Simplify right side
    2,174.16x = 2,850,489.36
  5. Step 5: Solve for x
    x = 2,850,489.36/2,174.16
  6. Step 6: Final answer
    x = 1,311.08

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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.