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Finding the Fourth Proportional to 3,066.63, 4,596.76 and 1,421.83

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Solution

The fourth proportional to 3,066.63, 4,596.76 and 1,421.83 is: 2,131.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.63 : 4,596.76 = 1,421.83 : x
  2. Step 2: Convert to fraction form
    3,066.63/4,596.76 = 1,421.83/x
  3. Step 3: Cross multiply
    3,066.63x = 4,596.76 × 1,421.83
  4. Step 4: Simplify right side
    3,066.63x = 6,535,811.27
  5. Step 5: Solve for x
    x = 6,535,811.27/3,066.63
  6. Step 6: Final answer
    x = 2,131.27

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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.