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Finding the Fourth Proportional to 4,302.96, 6,453.12 and 1,380.48

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Solution

The fourth proportional to 4,302.96, 6,453.12 and 1,380.48 is: 2,070.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.96 : 6,453.12 = 1,380.48 : x
  2. Step 2: Convert to fraction form
    4,302.96/6,453.12 = 1,380.48/x
  3. Step 3: Cross multiply
    4,302.96x = 6,453.12 × 1,380.48
  4. Step 4: Simplify right side
    4,302.96x = 8,908,403.10
  5. Step 5: Solve for x
    x = 8,908,403.10/4,302.96
  6. Step 6: Final answer
    x = 2,070.30

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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.