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Finding the Fourth Proportional to 2,209.76, 3,314.64 and 1,342.32

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Solution

The fourth proportional to 2,209.76, 3,314.64 and 1,342.32 is: 2,013.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.76 : 3,314.64 = 1,342.32 : x
  2. Step 2: Convert to fraction form
    2,209.76/3,314.64 = 1,342.32/x
  3. Step 3: Cross multiply
    2,209.76x = 3,314.64 × 1,342.32
  4. Step 4: Simplify right side
    2,209.76x = 4,449,307.56
  5. Step 5: Solve for x
    x = 4,449,307.56/2,209.76
  6. Step 6: Final answer
    x = 2,013.48

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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.