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Finding the Fourth Proportional to 3,077.38, 4,616.07 and 1,434.70

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Solution

The fourth proportional to 3,077.38, 4,616.07 and 1,434.70 is: 2,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.38 : 4,616.07 = 1,434.70 : x
  2. Step 2: Convert to fraction form
    3,077.38/4,616.07 = 1,434.70/x
  3. Step 3: Cross multiply
    3,077.38x = 4,616.07 × 1,434.70
  4. Step 4: Simplify right side
    3,077.38x = 6,622,675.63
  5. Step 5: Solve for x
    x = 6,622,675.63/3,077.38
  6. Step 6: Final answer
    x = 2,152.05

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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.