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Finding the Fourth Proportional to 2,664.65, 3,676.89 and 1,485.64

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Solution

The fourth proportional to 2,664.65, 3,676.89 and 1,485.64 is: 2,050.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.65 : 3,676.89 = 1,485.64 : x
  2. Step 2: Convert to fraction form
    2,664.65/3,676.89 = 1,485.64/x
  3. Step 3: Cross multiply
    2,664.65x = 3,676.89 × 1,485.64
  4. Step 4: Simplify right side
    2,664.65x = 5,462,545.03
  5. Step 5: Solve for x
    x = 5,462,545.03/2,664.65
  6. Step 6: Final answer
    x = 2,050.01

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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.