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Finding the Fourth Proportional to 2,594.89, 3,581.72 and 1,809.19

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Solution

The fourth proportional to 2,594.89, 3,581.72 and 1,809.19 is: 2,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.89 : 3,581.72 = 1,809.19 : x
  2. Step 2: Convert to fraction form
    2,594.89/3,581.72 = 1,809.19/x
  3. Step 3: Cross multiply
    2,594.89x = 3,581.72 × 1,809.19
  4. Step 4: Simplify right side
    2,594.89x = 6,480,012.01
  5. Step 5: Solve for x
    x = 6,480,012.01/2,594.89
  6. Step 6: Final answer
    x = 2,497.22

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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.