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Finding the Fourth Proportional to 2,415.63, 3,616.55 and 1,591.39

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Solution

The fourth proportional to 2,415.63, 3,616.55 and 1,591.39 is: 2,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.63 : 3,616.55 = 1,591.39 : x
  2. Step 2: Convert to fraction form
    2,415.63/3,616.55 = 1,591.39/x
  3. Step 3: Cross multiply
    2,415.63x = 3,616.55 × 1,591.39
  4. Step 4: Simplify right side
    2,415.63x = 5,755,341.50
  5. Step 5: Solve for x
    x = 5,755,341.50/2,415.63
  6. Step 6: Final answer
    x = 2,382.54

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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.