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Finding the Fourth Proportional to 2,262.64, 3,397.20 and 1,394.32

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Solution

The fourth proportional to 2,262.64, 3,397.20 and 1,394.32 is: 2,093.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.64 : 3,397.20 = 1,394.32 : x
  2. Step 2: Convert to fraction form
    2,262.64/3,397.20 = 1,394.32/x
  3. Step 3: Cross multiply
    2,262.64x = 3,397.20 × 1,394.32
  4. Step 4: Simplify right side
    2,262.64x = 4,736,783.90
  5. Step 5: Solve for x
    x = 4,736,783.90/2,262.64
  6. Step 6: Final answer
    x = 2,093.48

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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.