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Finding the Fourth Proportional to 1,596.12, 2,201.16 and 1,035.99

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Solution

The fourth proportional to 1,596.12, 2,201.16 and 1,035.99 is: 1,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.12 : 2,201.16 = 1,035.99 : x
  2. Step 2: Convert to fraction form
    1,596.12/2,201.16 = 1,035.99/x
  3. Step 3: Cross multiply
    1,596.12x = 2,201.16 × 1,035.99
  4. Step 4: Simplify right side
    1,596.12x = 2,280,379.75
  5. Step 5: Solve for x
    x = 2,280,379.75/1,596.12
  6. Step 6: Final answer
    x = 1,428.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.