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Finding the Fourth Proportional to 4,177.70, 6,266.64 and 1,869.20

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Solution

The fourth proportional to 4,177.70, 6,266.64 and 1,869.20 is: 2,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.70 : 6,266.64 = 1,869.20 : x
  2. Step 2: Convert to fraction form
    4,177.70/6,266.64 = 1,869.20/x
  3. Step 3: Cross multiply
    4,177.70x = 6,266.64 × 1,869.20
  4. Step 4: Simplify right side
    4,177.70x = 11,713,572.15
  5. Step 5: Solve for x
    x = 11,713,572.15/4,177.70
  6. Step 6: Final answer
    x = 2,803.84

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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.