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Finding the Fourth Proportional to 2,659.57, 3,670.65 and 2,028.91

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Solution

The fourth proportional to 2,659.57, 3,670.65 and 2,028.91 is: 2,800.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.57 : 3,670.65 = 2,028.91 : x
  2. Step 2: Convert to fraction form
    2,659.57/3,670.65 = 2,028.91/x
  3. Step 3: Cross multiply
    2,659.57x = 3,670.65 × 2,028.91
  4. Step 4: Simplify right side
    2,659.57x = 7,447,411.37
  5. Step 5: Solve for x
    x = 7,447,411.37/2,659.57
  6. Step 6: Final answer
    x = 2,800.23

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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.