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Finding the Fourth Proportional to 2,392.22, 3,564.84 and 2,313.92

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Solution

The fourth proportional to 2,392.22, 3,564.84 and 2,313.92 is: 3,448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.22 : 3,564.84 = 2,313.92 : x
  2. Step 2: Convert to fraction form
    2,392.22/3,564.84 = 2,313.92/x
  3. Step 3: Cross multiply
    2,392.22x = 3,564.84 × 2,313.92
  4. Step 4: Simplify right side
    2,392.22x = 8,248,754.57
  5. Step 5: Solve for x
    x = 8,248,754.57/2,392.22
  6. Step 6: Final answer
    x = 3,448.16

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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.