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Finding the Fourth Proportional to 2,105.64, 2,905.20 and 1,359.63

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Solution

The fourth proportional to 2,105.64, 2,905.20 and 1,359.63 is: 1,875.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.64 : 2,905.20 = 1,359.63 : x
  2. Step 2: Convert to fraction form
    2,105.64/2,905.20 = 1,359.63/x
  3. Step 3: Cross multiply
    2,105.64x = 2,905.20 × 1,359.63
  4. Step 4: Simplify right side
    2,105.64x = 3,949,997.08
  5. Step 5: Solve for x
    x = 3,949,997.08/2,105.64
  6. Step 6: Final answer
    x = 1,875.91

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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.