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Finding the Fourth Proportional to 2,322.48, 3,477.76 and 1,933.68

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Solution

The fourth proportional to 2,322.48, 3,477.76 and 1,933.68 is: 2,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.48 : 3,477.76 = 1,933.68 : x
  2. Step 2: Convert to fraction form
    2,322.48/3,477.76 = 1,933.68/x
  3. Step 3: Cross multiply
    2,322.48x = 3,477.76 × 1,933.68
  4. Step 4: Simplify right side
    2,322.48x = 6,724,874.96
  5. Step 5: Solve for x
    x = 6,724,874.96/2,322.48
  6. Step 6: Final answer
    x = 2,895.56

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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.