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Finding the Fourth Proportional to 2,304.64, 3,453.36 and 1,263.76

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Solution

The fourth proportional to 2,304.64, 3,453.36 and 1,263.76 is: 1,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.64 : 3,453.36 = 1,263.76 : x
  2. Step 2: Convert to fraction form
    2,304.64/3,453.36 = 1,263.76/x
  3. Step 3: Cross multiply
    2,304.64x = 3,453.36 × 1,263.76
  4. Step 4: Simplify right side
    2,304.64x = 4,364,218.23
  5. Step 5: Solve for x
    x = 4,364,218.23/2,304.64
  6. Step 6: Final answer
    x = 1,893.67

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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.