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Finding the Fourth Proportional to 2,105, 2,904.92 and 1,173.52

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Solution

The fourth proportional to 2,105, 2,904.92 and 1,173.52 is: 1,619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105 : 2,904.92 = 1,173.52 : x
  2. Step 2: Convert to fraction form
    2,105/2,904.92 = 1,173.52/x
  3. Step 3: Cross multiply
    2,105x = 2,904.92 × 1,173.52
  4. Step 4: Simplify right side
    2,105x = 3,408,981.72
  5. Step 5: Solve for x
    x = 3,408,981.72/2,105
  6. Step 6: Final answer
    x = 1,619.47

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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.