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Finding the Fourth Proportional to 2,660.96, 3,673.62 and 2,070.20

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Solution

The fourth proportional to 2,660.96, 3,673.62 and 2,070.20 is: 2,858.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.96 : 3,673.62 = 2,070.20 : x
  2. Step 2: Convert to fraction form
    2,660.96/3,673.62 = 2,070.20/x
  3. Step 3: Cross multiply
    2,660.96x = 3,673.62 × 2,070.20
  4. Step 4: Simplify right side
    2,660.96x = 7,605,128.12
  5. Step 5: Solve for x
    x = 7,605,128.12/2,660.96
  6. Step 6: Final answer
    x = 2,858.04

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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.