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Finding the Fourth Proportional to 1,596.70, 2,395.95 and 1,249.03

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Solution

The fourth proportional to 1,596.70, 2,395.95 and 1,249.03 is: 1,874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.70 : 2,395.95 = 1,249.03 : x
  2. Step 2: Convert to fraction form
    1,596.70/2,395.95 = 1,249.03/x
  3. Step 3: Cross multiply
    1,596.70x = 2,395.95 × 1,249.03
  4. Step 4: Simplify right side
    1,596.70x = 2,992,613.43
  5. Step 5: Solve for x
    x = 2,992,613.43/1,596.70
  6. Step 6: Final answer
    x = 1,874.25

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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.