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Finding the Fourth Proportional to 4,177.77, 6,264.42 and 1,803.84

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Solution

The fourth proportional to 4,177.77, 6,264.42 and 1,803.84 is: 2,704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.77 : 6,264.42 = 1,803.84 : x
  2. Step 2: Convert to fraction form
    4,177.77/6,264.42 = 1,803.84/x
  3. Step 3: Cross multiply
    4,177.77x = 6,264.42 × 1,803.84
  4. Step 4: Simplify right side
    4,177.77x = 11,300,011.37
  5. Step 5: Solve for x
    x = 11,300,011.37/4,177.77
  6. Step 6: Final answer
    x = 2,704.79

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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.