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Finding the Fourth Proportional to 2,106.42, 3,160.50 and 874.08

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Solution

The fourth proportional to 2,106.42, 3,160.50 and 874.08 is: 1,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.42 : 3,160.50 = 874.08 : x
  2. Step 2: Convert to fraction form
    2,106.42/3,160.50 = 874.08/x
  3. Step 3: Cross multiply
    2,106.42x = 3,160.50 × 874.08
  4. Step 4: Simplify right side
    2,106.42x = 2,762,529.84
  5. Step 5: Solve for x
    x = 2,762,529.84/2,106.42
  6. Step 6: Final answer
    x = 1,311.48

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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.