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Finding the Fourth Proportional to 1,596.85, 2,395.28 and 1,478.05

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Solution

The fourth proportional to 1,596.85, 2,395.28 and 1,478.05 is: 2,217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.85 : 2,395.28 = 1,478.05 : x
  2. Step 2: Convert to fraction form
    1,596.85/2,395.28 = 1,478.05/x
  3. Step 3: Cross multiply
    1,596.85x = 2,395.28 × 1,478.05
  4. Step 4: Simplify right side
    1,596.85x = 3,540,336.21
  5. Step 5: Solve for x
    x = 3,540,336.21/1,596.85
  6. Step 6: Final answer
    x = 2,217.08

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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.