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Finding the Fourth Proportional to 2,327.81, 3,492.99 and 1,808.87

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Solution

The fourth proportional to 2,327.81, 3,492.99 and 1,808.87 is: 2,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.81 : 3,492.99 = 1,808.87 : x
  2. Step 2: Convert to fraction form
    2,327.81/3,492.99 = 1,808.87/x
  3. Step 3: Cross multiply
    2,327.81x = 3,492.99 × 1,808.87
  4. Step 4: Simplify right side
    2,327.81x = 6,318,347.36
  5. Step 5: Solve for x
    x = 6,318,347.36/2,327.81
  6. Step 6: Final answer
    x = 2,714.29

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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.