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Finding the Fourth Proportional to 2,106.03, 2,906.60 and 1,221.65

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Solution

The fourth proportional to 2,106.03, 2,906.60 and 1,221.65 is: 1,686.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.03 : 2,906.60 = 1,221.65 : x
  2. Step 2: Convert to fraction form
    2,106.03/2,906.60 = 1,221.65/x
  3. Step 3: Cross multiply
    2,106.03x = 2,906.60 × 1,221.65
  4. Step 4: Simplify right side
    2,106.03x = 3,550,827.25
  5. Step 5: Solve for x
    x = 3,550,827.25/2,106.03
  6. Step 6: Final answer
    x = 1,686.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.