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Finding the Fourth Proportional to 2,433.57, 3,652.16 and 1,810.29

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Solution

The fourth proportional to 2,433.57, 3,652.16 and 1,810.29 is: 2,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.57 : 3,652.16 = 1,810.29 : x
  2. Step 2: Convert to fraction form
    2,433.57/3,652.16 = 1,810.29/x
  3. Step 3: Cross multiply
    2,433.57x = 3,652.16 × 1,810.29
  4. Step 4: Simplify right side
    2,433.57x = 6,611,459.67
  5. Step 5: Solve for x
    x = 6,611,459.67/2,433.57
  6. Step 6: Final answer
    x = 2,716.77

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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.