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Finding the Fourth Proportional to 2,106.55, 3,160.20 and 874.06

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Solution

The fourth proportional to 2,106.55, 3,160.20 and 874.06 is: 1,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.55 : 3,160.20 = 874.06 : x
  2. Step 2: Convert to fraction form
    2,106.55/3,160.20 = 874.06/x
  3. Step 3: Cross multiply
    2,106.55x = 3,160.20 × 874.06
  4. Step 4: Simplify right side
    2,106.55x = 2,762,184.24
  5. Step 5: Solve for x
    x = 2,762,184.24/2,106.55
  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.