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Finding the Fourth Proportional to 2,106.40, 2,906.46 and 1,221.88

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Solution

The fourth proportional to 2,106.40, 2,906.46 and 1,221.88 is: 1,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.40 : 2,906.46 = 1,221.88 : x
  2. Step 2: Convert to fraction form
    2,106.40/2,906.46 = 1,221.88/x
  3. Step 3: Cross multiply
    2,106.40x = 2,906.46 × 1,221.88
  4. Step 4: Simplify right side
    2,106.40x = 3,551,345.34
  5. Step 5: Solve for x
    x = 3,551,345.34/2,106.40
  6. Step 6: Final answer
    x = 1,685.98

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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.