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Finding the Fourth Proportional to 2,807.60, 4,211.40 and 859.55

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Solution

The fourth proportional to 2,807.60, 4,211.40 and 859.55 is: 1,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.60 : 4,211.40 = 859.55 : x
  2. Step 2: Convert to fraction form
    2,807.60/4,211.40 = 859.55/x
  3. Step 3: Cross multiply
    2,807.60x = 4,211.40 × 859.55
  4. Step 4: Simplify right side
    2,807.60x = 3,619,908.87
  5. Step 5: Solve for x
    x = 3,619,908.87/2,807.60
  6. Step 6: Final answer
    x = 1,289.33

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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.