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Finding the Fourth Proportional to 2,327.60, 3,492.05 and 1,010.68

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Solution

The fourth proportional to 2,327.60, 3,492.05 and 1,010.68 is: 1,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.60 : 3,492.05 = 1,010.68 : x
  2. Step 2: Convert to fraction form
    2,327.60/3,492.05 = 1,010.68/x
  3. Step 3: Cross multiply
    2,327.60x = 3,492.05 × 1,010.68
  4. Step 4: Simplify right side
    2,327.60x = 3,529,331.31
  5. Step 5: Solve for x
    x = 3,529,331.31/2,327.60
  6. Step 6: Final answer
    x = 1,516.29

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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.