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Finding the Fourth Proportional to 1,809.10, 2,713.65 and 1,537.09

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Solution

The fourth proportional to 1,809.10, 2,713.65 and 1,537.09 is: 2,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.10 : 2,713.65 = 1,537.09 : x
  2. Step 2: Convert to fraction form
    1,809.10/2,713.65 = 1,537.09/x
  3. Step 3: Cross multiply
    1,809.10x = 2,713.65 × 1,537.09
  4. Step 4: Simplify right side
    1,809.10x = 4,171,124.28
  5. Step 5: Solve for x
    x = 4,171,124.28/1,809.10
  6. Step 6: Final answer
    x = 2,305.64

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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.