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Finding the Fourth Proportional to 2,319.13, 3,480.06 and 859.30

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Solution

The fourth proportional to 2,319.13, 3,480.06 and 859.30 is: 1,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.13 : 3,480.06 = 859.30 : x
  2. Step 2: Convert to fraction form
    2,319.13/3,480.06 = 859.30/x
  3. Step 3: Cross multiply
    2,319.13x = 3,480.06 × 859.30
  4. Step 4: Simplify right side
    2,319.13x = 2,990,415.56
  5. Step 5: Solve for x
    x = 2,990,415.56/2,319.13
  6. Step 6: Final answer
    x = 1,289.46

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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.