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Finding the Fourth Proportional to 2,593.89, 3,580.34 and 1,808.19

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Solution

The fourth proportional to 2,593.89, 3,580.34 and 1,808.19 is: 2,495.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.89 : 3,580.34 = 1,808.19 : x
  2. Step 2: Convert to fraction form
    2,593.89/3,580.34 = 1,808.19/x
  3. Step 3: Cross multiply
    2,593.89x = 3,580.34 × 1,808.19
  4. Step 4: Simplify right side
    2,593.89x = 6,473,925.94
  5. Step 5: Solve for x
    x = 6,473,925.94/2,593.89
  6. Step 6: Final answer
    x = 2,495.84

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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.