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Finding the Fourth Proportional to 3,406.33, 4,700.76 and 1,914.25

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Solution

The fourth proportional to 3,406.33, 4,700.76 and 1,914.25 is: 2,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.33 : 4,700.76 = 1,914.25 : x
  2. Step 2: Convert to fraction form
    3,406.33/4,700.76 = 1,914.25/x
  3. Step 3: Cross multiply
    3,406.33x = 4,700.76 × 1,914.25
  4. Step 4: Simplify right side
    3,406.33x = 8,998,429.83
  5. Step 5: Solve for x
    x = 8,998,429.83/3,406.33
  6. Step 6: Final answer
    x = 2,641.68

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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.