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Finding the Fourth Proportional to 2,101.06, 2,899.53 and 1,204.93

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Solution

The fourth proportional to 2,101.06, 2,899.53 and 1,204.93 is: 1,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.06 : 2,899.53 = 1,204.93 : x
  2. Step 2: Convert to fraction form
    2,101.06/2,899.53 = 1,204.93/x
  3. Step 3: Cross multiply
    2,101.06x = 2,899.53 × 1,204.93
  4. Step 4: Simplify right side
    2,101.06x = 3,493,730.68
  5. Step 5: Solve for x
    x = 3,493,730.68/2,101.06
  6. Step 6: Final answer
    x = 1,662.84

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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.