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Finding the Fourth Proportional to 2,106.24, 3,160.06 and 874.22

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Solution

The fourth proportional to 2,106.24, 3,160.06 and 874.22 is: 1,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.24 : 3,160.06 = 874.22 : x
  2. Step 2: Convert to fraction form
    2,106.24/3,160.06 = 874.22/x
  3. Step 3: Cross multiply
    2,106.24x = 3,160.06 × 874.22
  4. Step 4: Simplify right side
    2,106.24x = 2,762,587.65
  5. Step 5: Solve for x
    x = 2,762,587.65/2,106.24
  6. Step 6: Final answer
    x = 1,311.62

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