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Finding the Fourth Proportional to 4,656.81, 6,984.48 and 1,882.77

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Solution

The fourth proportional to 4,656.81, 6,984.48 and 1,882.77 is: 2,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.81 : 6,984.48 = 1,882.77 : x
  2. Step 2: Convert to fraction form
    4,656.81/6,984.48 = 1,882.77/x
  3. Step 3: Cross multiply
    4,656.81x = 6,984.48 × 1,882.77
  4. Step 4: Simplify right side
    4,656.81x = 13,150,169.41
  5. Step 5: Solve for x
    x = 13,150,169.41/4,656.81
  6. Step 6: Final answer
    x = 2,823.86

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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.