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Finding the Fourth Proportional to 2,956.07, 4,433.64 and 1,770.77

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Solution

The fourth proportional to 2,956.07, 4,433.64 and 1,770.77 is: 2,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.07 : 4,433.64 = 1,770.77 : x
  2. Step 2: Convert to fraction form
    2,956.07/4,433.64 = 1,770.77/x
  3. Step 3: Cross multiply
    2,956.07x = 4,433.64 × 1,770.77
  4. Step 4: Simplify right side
    2,956.07x = 7,850,936.21
  5. Step 5: Solve for x
    x = 7,850,936.21/2,956.07
  6. Step 6: Final answer
    x = 2,655.87

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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.