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Finding the Fourth Proportional to 2,102.63, 2,901.86 and 1,305.73

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Solution

The fourth proportional to 2,102.63, 2,901.86 and 1,305.73 is: 1,802.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.63 : 2,901.86 = 1,305.73 : x
  2. Step 2: Convert to fraction form
    2,102.63/2,901.86 = 1,305.73/x
  3. Step 3: Cross multiply
    2,102.63x = 2,901.86 × 1,305.73
  4. Step 4: Simplify right side
    2,102.63x = 3,789,047.65
  5. Step 5: Solve for x
    x = 3,789,047.65/2,102.63
  6. Step 6: Final answer
    x = 1,802.06

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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.