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Finding the Fourth Proportional to 2,106.06, 3,152.61 and 1,242.06

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Solution

The fourth proportional to 2,106.06, 3,152.61 and 1,242.06 is: 1,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.06 : 3,152.61 = 1,242.06 : x
  2. Step 2: Convert to fraction form
    2,106.06/3,152.61 = 1,242.06/x
  3. Step 3: Cross multiply
    2,106.06x = 3,152.61 × 1,242.06
  4. Step 4: Simplify right side
    2,106.06x = 3,915,730.78
  5. Step 5: Solve for x
    x = 3,915,730.78/2,106.06
  6. Step 6: Final answer
    x = 1,859.27

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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.