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Finding the Fourth Proportional to 4,302.77, 6,454.76 and 1,380.38

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Solution

The fourth proportional to 4,302.77, 6,454.76 and 1,380.38 is: 2,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.77 : 6,454.76 = 1,380.38 : x
  2. Step 2: Convert to fraction form
    4,302.77/6,454.76 = 1,380.38/x
  3. Step 3: Cross multiply
    4,302.77x = 6,454.76 × 1,380.38
  4. Step 4: Simplify right side
    4,302.77x = 8,909,982.43
  5. Step 5: Solve for x
    x = 8,909,982.43/4,302.77
  6. Step 6: Final answer
    x = 2,070.76

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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.