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Finding the Fourth Proportional to 1,909.32, 2,864.01 and 611.70

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Solution

The fourth proportional to 1,909.32, 2,864.01 and 611.70 is: 917.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.32 : 2,864.01 = 611.70 : x
  2. Step 2: Convert to fraction form
    1,909.32/2,864.01 = 611.70/x
  3. Step 3: Cross multiply
    1,909.32x = 2,864.01 × 611.70
  4. Step 4: Simplify right side
    1,909.32x = 1,751,914.92
  5. Step 5: Solve for x
    x = 1,751,914.92/1,909.32
  6. Step 6: Final answer
    x = 917.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.