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Finding the Fourth Proportional to 2,106.08, 3,160.32 and 1,241

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Solution

The fourth proportional to 2,106.08, 3,160.32 and 1,241 is: 1,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.08 : 3,160.32 = 1,241 : x
  2. Step 2: Convert to fraction form
    2,106.08/3,160.32 = 1,241/x
  3. Step 3: Cross multiply
    2,106.08x = 3,160.32 × 1,241
  4. Step 4: Simplify right side
    2,106.08x = 3,921,957.12
  5. Step 5: Solve for x
    x = 3,921,957.12/2,106.08
  6. Step 6: Final answer
    x = 1,862.21

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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.