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Finding the Fourth Proportional to 2,473.01, 3,709.92 and 1,173.77

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Solution

The fourth proportional to 2,473.01, 3,709.92 and 1,173.77 is: 1,760.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.01 : 3,709.92 = 1,173.77 : x
  2. Step 2: Convert to fraction form
    2,473.01/3,709.92 = 1,173.77/x
  3. Step 3: Cross multiply
    2,473.01x = 3,709.92 × 1,173.77
  4. Step 4: Simplify right side
    2,473.01x = 4,354,574.25
  5. Step 5: Solve for x
    x = 4,354,574.25/2,473.01
  6. Step 6: Final answer
    x = 1,760.84

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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.