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Finding the Fourth Proportional to 3,438.72, 4,745.42 and 1,946.74

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Solution

The fourth proportional to 3,438.72, 4,745.42 and 1,946.74 is: 2,686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.72 : 4,745.42 = 1,946.74 : x
  2. Step 2: Convert to fraction form
    3,438.72/4,745.42 = 1,946.74/x
  3. Step 3: Cross multiply
    3,438.72x = 4,745.42 × 1,946.74
  4. Step 4: Simplify right side
    3,438.72x = 9,238,098.93
  5. Step 5: Solve for x
    x = 9,238,098.93/3,438.72
  6. Step 6: Final answer
    x = 2,686.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.