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Finding the Fourth Proportional to 3,076.19, 4,615.21 and 1,433.71

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Solution

The fourth proportional to 3,076.19, 4,615.21 and 1,433.71 is: 2,151.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.19 : 4,615.21 = 1,433.71 : x
  2. Step 2: Convert to fraction form
    3,076.19/4,615.21 = 1,433.71/x
  3. Step 3: Cross multiply
    3,076.19x = 4,615.21 × 1,433.71
  4. Step 4: Simplify right side
    3,076.19x = 6,616,872.73
  5. Step 5: Solve for x
    x = 6,616,872.73/3,076.19
  6. Step 6: Final answer
    x = 2,151.00

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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.