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Finding the Fourth Proportional to 2,433.68, 3,360.84 and 2,082.32

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Solution

The fourth proportional to 2,433.68, 3,360.84 and 2,082.32 is: 2,875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.68 : 3,360.84 = 2,082.32 : x
  2. Step 2: Convert to fraction form
    2,433.68/3,360.84 = 2,082.32/x
  3. Step 3: Cross multiply
    2,433.68x = 3,360.84 × 2,082.32
  4. Step 4: Simplify right side
    2,433.68x = 6,998,344.35
  5. Step 5: Solve for x
    x = 6,998,344.35/2,433.68
  6. Step 6: Final answer
    x = 2,875.62

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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.