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Finding the Fourth Proportional to 4,942.81, 7,414.27 and 1,655.93

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Solution

The fourth proportional to 4,942.81, 7,414.27 and 1,655.93 is: 2,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.81 : 7,414.27 = 1,655.93 : x
  2. Step 2: Convert to fraction form
    4,942.81/7,414.27 = 1,655.93/x
  3. Step 3: Cross multiply
    4,942.81x = 7,414.27 × 1,655.93
  4. Step 4: Simplify right side
    4,942.81x = 12,277,512.12
  5. Step 5: Solve for x
    x = 12,277,512.12/4,942.81
  6. Step 6: Final answer
    x = 2,483.91

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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.