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Finding the Fourth Proportional to 4,667.60, 7,002.76 and 1,380.77

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Solution

The fourth proportional to 4,667.60, 7,002.76 and 1,380.77 is: 2,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.60 : 7,002.76 = 1,380.77 : x
  2. Step 2: Convert to fraction form
    4,667.60/7,002.76 = 1,380.77/x
  3. Step 3: Cross multiply
    4,667.60x = 7,002.76 × 1,380.77
  4. Step 4: Simplify right side
    4,667.60x = 9,669,200.93
  5. Step 5: Solve for x
    x = 9,669,200.93/4,667.60
  6. Step 6: Final answer
    x = 2,071.56

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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.