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Finding the Fourth Proportional to 1,405.15, 2,109.85 and 859.61

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Solution

The fourth proportional to 1,405.15, 2,109.85 and 859.61 is: 1,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.15 : 2,109.85 = 859.61 : x
  2. Step 2: Convert to fraction form
    1,405.15/2,109.85 = 859.61/x
  3. Step 3: Cross multiply
    1,405.15x = 2,109.85 × 859.61
  4. Step 4: Simplify right side
    1,405.15x = 1,813,651.28
  5. Step 5: Solve for x
    x = 1,813,651.28/1,405.15
  6. Step 6: Final answer
    x = 1,290.72

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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.