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Finding the Fourth Proportional to 2,756.66, 4,134.98 and 1,601.78

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Solution

The fourth proportional to 2,756.66, 4,134.98 and 1,601.78 is: 2,402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.66 : 4,134.98 = 1,601.78 : x
  2. Step 2: Convert to fraction form
    2,756.66/4,134.98 = 1,601.78/x
  3. Step 3: Cross multiply
    2,756.66x = 4,134.98 × 1,601.78
  4. Step 4: Simplify right side
    2,756.66x = 6,623,311.59
  5. Step 5: Solve for x
    x = 6,623,311.59/2,756.66
  6. Step 6: Final answer
    x = 2,402.66

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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.