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Finding the Fourth Proportional to 2,655.08, 3,980.39 and 1,174.06

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Solution

The fourth proportional to 2,655.08, 3,980.39 and 1,174.06 is: 1,760.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.08 : 3,980.39 = 1,174.06 : x
  2. Step 2: Convert to fraction form
    2,655.08/3,980.39 = 1,174.06/x
  3. Step 3: Cross multiply
    2,655.08x = 3,980.39 × 1,174.06
  4. Step 4: Simplify right side
    2,655.08x = 4,673,216.68
  5. Step 5: Solve for x
    x = 4,673,216.68/2,655.08
  6. Step 6: Final answer
    x = 1,760.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.