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Finding the Fourth Proportional to 2,357.92, 3,509.92 and 2,322.88

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Solution

The fourth proportional to 2,357.92, 3,509.92 and 2,322.88 is: 3,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.92 : 3,509.92 = 2,322.88 : x
  2. Step 2: Convert to fraction form
    2,357.92/3,509.92 = 2,322.88/x
  3. Step 3: Cross multiply
    2,357.92x = 3,509.92 × 2,322.88
  4. Step 4: Simplify right side
    2,357.92x = 8,153,122.97
  5. Step 5: Solve for x
    x = 8,153,122.97/2,357.92
  6. Step 6: Final answer
    x = 3,457.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.