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Finding the Fourth Proportional to 3,101.94, 4,280.94 and 1,704.96

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Solution

The fourth proportional to 3,101.94, 4,280.94 and 1,704.96 is: 2,352.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.94 : 4,280.94 = 1,704.96 : x
  2. Step 2: Convert to fraction form
    3,101.94/4,280.94 = 1,704.96/x
  3. Step 3: Cross multiply
    3,101.94x = 4,280.94 × 1,704.96
  4. Step 4: Simplify right side
    3,101.94x = 7,298,831.46
  5. Step 5: Solve for x
    x = 7,298,831.46/3,101.94
  6. Step 6: Final answer
    x = 2,352.99

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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.