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Finding the Fourth Proportional to 3,073.77, 4,612.01 and 1,612.57

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Solution

The fourth proportional to 3,073.77, 4,612.01 and 1,612.57 is: 2,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.77 : 4,612.01 = 1,612.57 : x
  2. Step 2: Convert to fraction form
    3,073.77/4,612.01 = 1,612.57/x
  3. Step 3: Cross multiply
    3,073.77x = 4,612.01 × 1,612.57
  4. Step 4: Simplify right side
    3,073.77x = 7,437,188.97
  5. Step 5: Solve for x
    x = 7,437,188.97/3,073.77
  6. Step 6: Final answer
    x = 2,419.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.