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Finding the Fourth Proportional to 3,076.74, 4,615.11 and 1,434.44

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Solution

The fourth proportional to 3,076.74, 4,615.11 and 1,434.44 is: 2,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.74 : 4,615.11 = 1,434.44 : x
  2. Step 2: Convert to fraction form
    3,076.74/4,615.11 = 1,434.44/x
  3. Step 3: Cross multiply
    3,076.74x = 4,615.11 × 1,434.44
  4. Step 4: Simplify right side
    3,076.74x = 6,620,075.31
  5. Step 5: Solve for x
    x = 6,620,075.31/3,076.74
  6. Step 6: Final answer
    x = 2,151.65

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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.