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Finding the Fourth Proportional to 3,066.68, 4,596.41 and 1,419.74

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Solution

The fourth proportional to 3,066.68, 4,596.41 and 1,419.74 is: 2,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.68 : 4,596.41 = 1,419.74 : x
  2. Step 2: Convert to fraction form
    3,066.68/4,596.41 = 1,419.74/x
  3. Step 3: Cross multiply
    3,066.68x = 4,596.41 × 1,419.74
  4. Step 4: Simplify right side
    3,066.68x = 6,525,722.17
  5. Step 5: Solve for x
    x = 6,525,722.17/3,066.68
  6. Step 6: Final answer
    x = 2,127.95

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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.