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Finding the Fourth Proportional to 1,957.59, 2,936.14 and 496.71

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Solution

The fourth proportional to 1,957.59, 2,936.14 and 496.71 is: 745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.59 : 2,936.14 = 496.71 : x
  2. Step 2: Convert to fraction form
    1,957.59/2,936.14 = 496.71/x
  3. Step 3: Cross multiply
    1,957.59x = 2,936.14 × 496.71
  4. Step 4: Simplify right side
    1,957.59x = 1,458,408.86
  5. Step 5: Solve for x
    x = 1,458,408.86/1,957.59
  6. Step 6: Final answer
    x = 745.00

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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.