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Finding the Fourth Proportional to 1,596.89, 2,393.61 and 609.23

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Solution

The fourth proportional to 1,596.89, 2,393.61 and 609.23 is: 913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.89 : 2,393.61 = 609.23 : x
  2. Step 2: Convert to fraction form
    1,596.89/2,393.61 = 609.23/x
  3. Step 3: Cross multiply
    1,596.89x = 2,393.61 × 609.23
  4. Step 4: Simplify right side
    1,596.89x = 1,458,259.02
  5. Step 5: Solve for x
    x = 1,458,259.02/1,596.89
  6. Step 6: Final answer
    x = 913.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.