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Finding the Fourth Proportional to 2,105.37, 2,905.29 and 1,265.88

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Solution

The fourth proportional to 2,105.37, 2,905.29 and 1,265.88 is: 1,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.37 : 2,905.29 = 1,265.88 : x
  2. Step 2: Convert to fraction form
    2,105.37/2,905.29 = 1,265.88/x
  3. Step 3: Cross multiply
    2,105.37x = 2,905.29 × 1,265.88
  4. Step 4: Simplify right side
    2,105.37x = 3,677,746.62
  5. Step 5: Solve for x
    x = 3,677,746.62/2,105.37
  6. Step 6: Final answer
    x = 1,746.84

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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.