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Finding the Fourth Proportional to 2,105.63, 3,156.04 and 1,282.08

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Solution

The fourth proportional to 2,105.63, 3,156.04 and 1,282.08 is: 1,921.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.63 : 3,156.04 = 1,282.08 : x
  2. Step 2: Convert to fraction form
    2,105.63/3,156.04 = 1,282.08/x
  3. Step 3: Cross multiply
    2,105.63x = 3,156.04 × 1,282.08
  4. Step 4: Simplify right side
    2,105.63x = 4,046,295.76
  5. Step 5: Solve for x
    x = 4,046,295.76/2,105.63
  6. Step 6: Final answer
    x = 1,921.66

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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.