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Finding the Fourth Proportional to 3,406.58, 4,700.59 and 1,914.42

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Solution

The fourth proportional to 3,406.58, 4,700.59 and 1,914.42 is: 2,641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.58 : 4,700.59 = 1,914.42 : x
  2. Step 2: Convert to fraction form
    3,406.58/4,700.59 = 1,914.42/x
  3. Step 3: Cross multiply
    3,406.58x = 4,700.59 × 1,914.42
  4. Step 4: Simplify right side
    3,406.58x = 8,998,903.51
  5. Step 5: Solve for x
    x = 8,998,903.51/3,406.58
  6. Step 6: Final answer
    x = 2,641.62

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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.