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Finding the Fourth Proportional to 2,660.07, 3,670.85 and 1,665.90

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Solution

The fourth proportional to 2,660.07, 3,670.85 and 1,665.90 is: 2,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.07 : 3,670.85 = 1,665.90 : x
  2. Step 2: Convert to fraction form
    2,660.07/3,670.85 = 1,665.90/x
  3. Step 3: Cross multiply
    2,660.07x = 3,670.85 × 1,665.90
  4. Step 4: Simplify right side
    2,660.07x = 6,115,260.69
  5. Step 5: Solve for x
    x = 6,115,260.69/2,660.07
  6. Step 6: Final answer
    x = 2,298.91

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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.