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Finding the Fourth Proportional to 3,004.65, 4,145.13 and 1,884.83

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Solution

The fourth proportional to 3,004.65, 4,145.13 and 1,884.83 is: 2,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.65 : 4,145.13 = 1,884.83 : x
  2. Step 2: Convert to fraction form
    3,004.65/4,145.13 = 1,884.83/x
  3. Step 3: Cross multiply
    3,004.65x = 4,145.13 × 1,884.83
  4. Step 4: Simplify right side
    3,004.65x = 7,812,844.65
  5. Step 5: Solve for x
    x = 7,812,844.65/3,004.65
  6. Step 6: Final answer
    x = 2,600.25

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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.