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Finding the Fourth Proportional to 2,320.02, 3,480.63 and 859.59

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Solution

The fourth proportional to 2,320.02, 3,480.63 and 859.59 is: 1,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.02 : 3,480.63 = 859.59 : x
  2. Step 2: Convert to fraction form
    2,320.02/3,480.63 = 859.59/x
  3. Step 3: Cross multiply
    2,320.02x = 3,480.63 × 859.59
  4. Step 4: Simplify right side
    2,320.02x = 2,991,914.74
  5. Step 5: Solve for x
    x = 2,991,914.74/2,320.02
  6. Step 6: Final answer
    x = 1,289.61

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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.