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Finding the Fourth Proportional to 2,659.70, 3,670.82 and 2,029.04

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Solution

The fourth proportional to 2,659.70, 3,670.82 and 2,029.04 is: 2,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.70 : 3,670.82 = 2,029.04 : x
  2. Step 2: Convert to fraction form
    2,659.70/3,670.82 = 2,029.04/x
  3. Step 3: Cross multiply
    2,659.70x = 3,670.82 × 2,029.04
  4. Step 4: Simplify right side
    2,659.70x = 7,448,222.26
  5. Step 5: Solve for x
    x = 7,448,222.26/2,659.70
  6. Step 6: Final answer
    x = 2,800.40

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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.